Double Dog Dare
March9
While at the math conference in Las Vegas last week we did a scale activity. We started by building the small dog and then we were told to scale the dog by a certain amount to create a larger version. I took pictures of our creation to share with you. 🙂
How many times bigger is our large dog than our small dog? How do you know?
Those of you who would like some extra credit, tell me the volume of the little dog and the volume of the large dog and write the volume in a ratio of little:large. Explain how you found your ratio too!
25 times bigger because I subtracted the number of blocks in the big dog to the small dog
the dog is only two times larger you can tell by counting the height of blocks on the legs the smaller is 3 up and the larger is 6 up; you can also tell by the width, length, and height of the head. The width of the body is 1 on the smaller one and the larger is two. the length of the body is 4 on the smaller one and is 8 on the larger. the height of the head from neck to tip of the head is 3 blocks up on the smaller one and 6 on the larger.
Great job Paul! I like how you looked at all the dimensions of both dogs to come up with your solution! 🙂
I believe that the large dog is 4 times bigger than our small dog.
I know this because when I was looking at the top picture, I saw that the bigger dog had 4 squares and the smaller dog had only 1 square. 😉
2* bigger than the small one.
the big dog is 5 blocks/squares higher than the small dog in scale 🙂
the big dog is 4 blocks bigger than the little dog 🙂
it is 12 high and 5 wide 5:12 i counted the blocks height and the blocks width
how you find the ratio is too us a ruler
they have different height and lengths ☺☻
the difference is the the height
the difference is the the height ☺
you increased its size by four and i know this by looking at the legs.
Dear Mrs. Ellison;
I happened by chance to see your blog assigmnment today, and it looks a little bit hard for some. I had to think just a little bit. So let’s just get to the point.
The small dog is going to be the origin. The first thing I noticed was the small dog’s leg was 1x1x3, then I looked at the big dog’s leg. I saw that it was 2x2x6. Twice as big as the small dog’s. So I figured to look at the top block of the small dog’s head. (ie- the highest block) I saw it was 1x1x1. So I thought, if the leg was twice the size on the big dog, then the head should be twice the size on the big dog as well. (2x2x2) I looked at the big dog and saw that I was correct.
This is for extra credit: I looked at the small dog and counted how many blocks it had. (22) Then I doubled that amount because the big dog is twice the size of the small dog. (2:1 (How I got this is for every two block on the big dog the small dog only has one)) I got the answer of 44 blocks on the bigger dog.
Sincerely,
Loren T. Elder
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Notes:
Small Dog: 22 blocks 1x1x1
Large Dog: 44 blocks 2x2x2
Ratio: 2:1
Leg size: Small Dog: 1×3
Leg size: Large Dog: 2×6 (1×2=2; 2×3=6)
It went 2 Times bigger, I know because If you look at the legs it has the height of the small dog is 3 and then the height of the big dog is 6 so I divide it, and it makes 2 times.
Each chunk on the dog is 1cmX1cmX1cm = 1cm^3
The volume for the small dog is 22cm^3
Now if I look at the large dog the dimensions are twice as large, so 1 large chuck(2X2X2) = 1 small chunk (1X1X1)
Large:8cm^3 Small:1cm^3
So The large dog’s size is 176cm^3
I think that the large dog is 6 times bigger than the small dog, because when you count the amount of cubes on the large dog, on all of its legs it has 6 cubes in each column.
Extra Credit : The little dog has 21 cubes and I multiplied 21 x 6 because I think that the large dog is 6 times bigger. So, 21×6=126 Ratio: 21:126
4 times bigger because I counted the squares on the side the front and on the top of each dog then added it together. I got 33 for the small dog and 132 for the big dog so then I divided 132 by 33 and got 4.
I think that the formula for volume is length x width x height so for the big dog in order to find the volume this is what I would use:
length:48
width:36
height:48
and then I’ll multiply the numbers together: 48 x 36 x 48= 82944
then I’ll do the same for the small dog:
length:12
width:9
height:12
and multiply the numbers together: 12 x 9 x 12= 1296
so my ratio is going to be written as little:big so my ratio is 1296:82944 and I found my ratio by finding the volume and to find the volume I had to do length x width x height so for the big dog it was 48 x 36 x 48= 82944 and for the little dog it was 12 x 9 x 12=1296 so then I had to write my ratio little:big so my answer was 1296:82944 and I think the ratio is the difference as well so the difference between the two is 81648
The large dog is 4 times bigger because there was only 4 blocks on the back of the dog but on the large dog there was 16. 4×4=16.
6/24=volume small and big dog
the little dogs legs were 2blocks tall and the back was 3 blocks long.
3×2=6.
6×4=24.
The dog is 2 times bigger because the length of the bigger dogs leg is 6 and the length of the small dogs leg is 3. The volume is times 8 because I counted another dimension. Thanks.
The smaller dog is two inches and the larger dog is 4 inches, in that case the smaller dog would be two inches smaller than the larger dog.
ratio: 2:4
its twice the size because i counted the sides going up and the small one had 6 and the big one had 12 plus its called double dog dare.
It’s 8 Times Bigger than the small dog .
For the Small Dog They used Approximately 16 Pieces of blocks
40 Pieces For the Dogs Body. 96 Pieces for all the dogs legs.
( 24 cubes per leg ) 24 Times 4= 96 Pieces
Total For big Dog is 136 Pies for dog.
136/16= 8.5
The Dog is 8 Times Bigger
Extra Credit
Volume : Formula Legth Times Width With Times Height
Small Dog : H= 6 Times w=3 times L= 5 = 90 Volume
Big Dog = h=12 x w=6 x L=9 = 648 Volume large dog
the dog is about 7 or 6 blocks high then the small one so its like half the hieght. I could just tell by looking at the piture
The large dog has 102 blocks and the smaller dog has 21 blocks so the dog is two times larger .o.
you had to double the dogs size. i figured this by i looked at the small dog and big dog. the big dogs legs are two times bigger
The taller dog is two times bigger than the smaller dog. I can tell this because all of the dimensions on the bigger dog are twice the size.
The big dog is two times bigger because the larger dog is 12 blocks tall and the little dog is only 6 blocks tall.
The bigger dog is two times bigger than the small dog. You can tell by counting the blocks.
Its 4 times bigger than the small one because if you look at the top of the dog you can see that 1 unit cube would equal 4 unit cubes on the bigger dog
it is about 4-5 blocks tall for the small dog and for the bigg dog it is about 8-10 blocks tall. how i know is because it is about 5-6 more blocks taller than the little dog . 🙂
the small dog is 6 and the large dog is 12. I found this by counting the side of each dog in the second picture. approximately the large dog is 2x as big as the small dog. ratio- 2:12
EXTRA CREDIT:
to find the volume I did width*length*height=volume.
the width is approx.15 for the large dog and 6 for the small dog. the length of the large dog is 4 and the small dog is 2. the height of the large dog is 12 and the small dog is 6.
next I multiply these numbers to get the volume
large dog= 15*4*12=720 (this is the volume)
small dog= 6*2*6=72 (this is the volume)
so, the volume for the large dog is 720 and the volume for the small dog is 72 🙂
it is 2 times bigger because i looked at both of the dogs and the small dog is only 6 blocks up high and the bigger dog is 12 times high so 12/2 is 6 cute dogs too! 🙂
the dog is only three times biger you can tell by counting the height of blocks on the legs on the smaller is 3 up and the larger is 7 up; you also tell by the which, length, and height of the head. the width of the body is 1 on the smaller one and the larger is two. the length of the body is 4 on the smaller one and 8 on the larger. the height of the head from neck to tip of the hrad is 3 blocks up on the smaller one and 6 on the larger. ; ) : )
the larger dog has 6 blocks up and the small dog has 3 blocks up.
i think that it is up 3 because if you look at the big dogs back legs it is three rows but the little one is only one so it is a 1:3 ratio
you can tell which lego dog was taller and or bigger how ever you want to put it by looking how many legos are used in each leg the with of the body like 2 by 8 for the larger one and 1 by four for the smaller one. For the length of legs the larger one is 6 legos stacked and the smaller one is 3 legos stacked. from neck to nose on the smaller dog is three legos upand for the larger dog is 6 legos up
so the dog is twice the size as the little dog
The dog is two times the small dog. you can tell by counting how much blocks is used on the small dog and how much blocks on the big dog.
the smaller dog is half the length, height, and width of the bigger dog. So the smaller dog was doubled in scale.
the big dog is 2 times bigger than the small dog because the small dog’s legs are 3 blocks high and the bigger dog’s legs are 6 blocks higher so we know 3 times two is 6 so we know the rest of it is also 2 times bigger.
It looks like you doubled the size. I counted the legs on both the big dog and the small one and the big dog has twice as many blocks on the leg.
its 2.5 times bigger and the length of the big dog was 9 square and the width was 6 square and I multiplied those numbers and got 54for the area. Then the small dogs length was 5 squares and the width was 4 squares and I multiplied those and I got 20 for the area
The larger dog is taller because it’s legs is 6 up and the smaller one has 3 up. The larger one is the double of the smaller dog leg size. the larger dogs volume is 12 because 6 * 2=12 and he smaller one is just 3 because 3*1=3.
the large dog has 102 blocks and the smaller dog has 20 blocks so the dog is larger
The scale is 1:8. If you count the blocks of the nose of the smaller dog, there is one. On the larger dog there is 8. I counted each block from each side on both dogs, and they all equal 8 more. On the leg of the smaller dog there are 3 blocks, and on the leg of the larger dog there are 24 blocks.
The smaller dog is 3×5 and the bigger dog is 10×6. The big dog is 2x bigger. Because the ratio is 2:1.
The smaller dog is 26 and the bigger dog is 52. 1/2 = 26/n so the ratio would be 1:2. The dimensions of the big dog was 2x the small dog.
its only 2 times bigger because if you look at the tail its only 2 times bigger
The width of the body is 2 on the smaller one and the larger is two. the length of the body is 4 on the smaller one and is 8 on the larger.
the larger dog because just by counting u can honestly see that all they did was double it by 3 and the smaller ones head is 6 and the big one is 3 🙂
the smaller dog was 6 blocks high and the bigger dog was twice the size = 12 blocks high
The little one is only 7 blocks toll and the big dog is 12 blocks toll. And how i got this answer was by counting.
I also believe that the scale is 1:2 because the small dog is 3 blocks up and the big dog is 6 blocks up.
the big dog is 2 times bigger becuse it has doubled in size because of how maney blocks it had
small 3 up larger 6 up width 1,small bigger,2 times as big the length of the body is 4 smaller one and for the big one 8.On thehead for the small one is 3 blocks up and 6 on the bigger one.
The big dog is 2 times bigger than the little dog and the i can tell by looking at the size of the big and small dogs legs and head.the small dogs legs are 3 blocks tall and the legs of the bigger dog are 6 blocks tall and there is only 1 block on the very top of the little dogs and the bigger dog has 2 blocks on the very top of his head
2 times bigger I know because I took my finger measured the small dog then put that measurement on top of the small dog witch equaled the height of the bigger dog
The larger dog is 2 times the size of the smaller dog and I know this because if you do 3 over 6 and x over 100 and you use the hart you get 300x=6 then you do 300/6 and you get 50% so therefor you have double the amount. I got the 3 for the leg of the small dog and the 6 from the tall dog. And I did not copy Pauls answer.
the dog is two times larger.I can tell by counting the height of blocks on the legs. The smaller size is 3 up and the larger size is 6 up; you can also tell by the width, length, and height of the head. The width of the body is “1” on the smaller one and the larger is “2”. The length of the body is “4” on the smaller one and is “8” on the larger. The height of the head from neck to tip of the head is 3 blocks up on the smaller one and 6 on the larger.
the dog is twice as big as the small one I got this by counting how many blocks were in the leg and then counting the number of blocks in the large dogs leg then dividing the number of blocks in the large dog leg by the number of blocks in the small dog leg sorry it was late just figured it out I will show you what it kept doing to me.
The dog is two times taller because if you count the blocks from side to side the bigger one has two and the smaller one only has one
i think it is 2 times bigger because you can tell by counting the height, length, and width the bigger dog is 2 times bigger then the smaller one.
The dog is only 2 times larger because by counting the height of the blocks on the legs the smaller is three up and the larger is 6 up
You increased the block scale by 4.I know this because the top block of the small dog’s head is one. The larger dog’s top head part is 4 blocks sooooooooooooo 1 block on the small dog is equal to 4 blocks on the larger dog.
the small dog is doubled to make the bigger dog. I can tell because the height of the small dog is 3 and the height of the bigger dog is 6 which then you divide that and get 2. so the width of the small dog is 1 and the width of the bigger dog is 6 😉
it is 8 times larger. i looked on the back and everything was *8. i timed length, width, and hieght. i got to the conclusion that everything was *8 more, as i said erliyer. little:big is 72:576
The big dog is only twice the size of the little dog because when you zoom in and count the blocks of each dog you’ll notice that the small dog’s legs are composed of 3 blocks, 1 block on it’s neck, 1 block for it’s ears, 1 block for it’s snout, 3 blocks for it’s waist, and 1 block for it’s waist. Where as the big dog’s legs are composed of 6 blocks, it’s neck is composed of 2 blocks,2 blocks for it’s ears, 2 blocks for it’s snout, and 6 blocks for it’s waist and 2 blocks for it’s tail. I know this because I zoomed in carefully on the image and counted each block on the dogs. You will notice what I noticed on the image too. 🙂
The new dog is twice as big as the smaller because the legs on the smaller one are 3 blocks high and the bigger dogs’ legs are 6 blocks high.
I believe that the large dog is 4 times bigger than our small dog.
I know this because when I was looking at the top picture, I saw that the bigger dog had 4 squares and the smaller dog had only 1 square. 😉
the big dog is 2 times bigger than the little dog because the leg on the big dog is 6 blocks and the one on the little dog is 3 blocks
the dog is 2 times bigger than the little dog
The small dog is 1*1*3 and the large dog is2*2*6 so
1*1*3
* 2
_______
2*2*6. So its 2 times smaller than the large dog.
the dog is about 6 or 7 blocks bigger
the big dog is 2 times bigger then the small dog
The big dog is 2 times bigger then the small dog.
the bigger dog had 4 squares and the smaller dog had only 1 square.
The big dog is twice the size of the small dog.