Question

Rene is constructing two similar boxes shaped as similar rectangular prisms. The smaller box has a height of 12 inches and a square base of side length 8 inches.

If the larger box has a height of 15 inches, what is its volume?
Answer
960 cubic inches
1200 cubic inches
1440 cubic inches
1500 cubic inches

Answer 1

let x be the base length of the larger box

using rations for similar shapes

15/12 = x/8 x = (15 x 8)/12

calculate the side length

then find the base area and multiply by the height of 15 to find the volume

Answer 2

so the answer would be?

Answer 3

1500?

Answer 4

looks like it to me

Answer 5

thank you