Question

Box A has a volume of 12 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were multiplied by five. What is the volume of box B?. 60 m3. 300 m3. 1,500 m3. 7,500 m3

Answer 1

Let us assume the volume of box B = x
Now, the formula that needs to be followed is
(scale factor)^3 = Volume of Box A/volume of Box B
(1/5)^3 = 12/x
1/125 = 12/x
x = 12 * 125
= 1500 m^3
So, from the above deduction, we can conclude that the option that is correct is the third option. I hope the answer helps you.

Answer 2

The formula for the volume of a box (assuming that it is in the shape of a cube) is V=B^3.

12=B^3

Now, do the cube root of 12 to find each dimension, all dimensions will be equal as it is a cube.

B= about 2.29 (when doing on a calculator keep full answer and do not round)

Now to find the volume of box B, multiply each dimension by 5

5(2.29...) times 5(2.29...) times 5(2.29...)

=1,500 m^3

Hope this helps!