Box A has a volume of 24 cubic meters. Box B is similar to Box A. To create Box B, Box A's dimensions were multiplied by 4. What is the volume of Box B?

Step-by-step explanation:

Given

Box A has a volume of

Box B is similar to box A such that box A dimension is multiplied by 4 to get the box B

So, each length is 4 times the box A and volume is the cube of the side.

Thus, the volume of box B is the volume of box A

The volume of box B is  

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6