Question

Another aquarium in the building has dimensions that are each triple the size of the aquarium in Riley’s father’s office. Riley thought that the volume would also triple. Is Riley correct? How many times greater is the volume of the larger aquarium than the smaller? explain your reasoning. help please

Answer 1

@KamiBug

Answer 2

The original dimensions were 16, 8.5, and 10.5, correct? :)

Answer 3

yeah
forogt to put it

Answer 4

wait let me put it

Answer 5

Riley noticed an aquarium in his father’s office. The aquarium had the dimensions 16 in. by 8.5 in. by 10.5 in. The formula for volume is: V = l × w × h.

Answer 6

the ratio of the volumes equals the ratio of the cubes of the lengths

Answer 7

yes

Answer 8

wait what?

Answer 9

so if one dimension is 10 then the corresponding dimension in the larger aquarium will be 30 and ratio of these is 1:3
so ratio of the volumes will be 1 : 3^3 = 1:27

Answer 10

so my answer is 1:27 sir??

Answer 11

Multiply each original dimension by 3 and that'll give you the new dimensions. Use those new dimensions to solve for the new volume. Then divide the original volume by the new volume to see how much bigger it is! :D
16*3=48
8.5*3=25.5
10.5*3=31.5

48*25.5*31.5=38556

Now divide the new volume by the original volume...
38556/1428 = 27

So the bigger aquarium is 27 times bigger than the smaller one! :)

Answer 12

so the answer is 27?

Answer 13

this makes way way more sense :)

Answer 14

so i times 27 and 3?

Answer 15

You don't need to multiply 27 and 3. :P The work is already done, Lol.
Riley was incorrect b/c he thought it would only be 3 times bigger; it's actually 27 times bigger. :) Just explain that when you put your answer. :3