Question

Box A has a volume of 48 cubic meters. Box B is similar to Box A. To create Box B, Box A's dimensions were doubled. What is the volume of Box B? 24 m3 96 m3 288 m3 384 m3

Answer 1

Since we are dealing with a 3 dimensional quantity (volume) when when we double each of those dimensions, the resuting volume is increased 8 times.
2 * 2 * 2 = 8
So, Box B's volume = Box A's Volume * 8
8 * 48 = 384 cubic meters

answer is 384 m3

Answer 2

Answer:
`384\ m^3`

Explanation:

The volume of box with dimensions l by w by h is given by :-

`\text{Volume}=lwh`, where l is length , w is width and h is height of the box.

Given: The volume of Box A is 48 cubic meters.

i.e.
`\text{Volume}=lwh=48` , where l is length , w is width and h is height of the box.

If the to create Box B, Box A's dimensions were doubled, then the dimensions of Box A will be 2l by 2w by 2h.

Bow, the volume of Box B will be:-

`\text{Volume}=2l*2w*2h\\=2*2*2(lwh)\\=8(lwh)=8(48)=384\ m^3`

Hence, the volume of Box B =
`384\ m^3`