Question

the volume of a rectangular prism is 2058 cubic cm. the length of the prism is 3 times the width. the height is twice the width. find the height of the prism.

Answer 1

The volume of a rectangular prism can be found by the formula:

Let V = 2058

Let Length = 3x

Let Width = x

Let Height = 2x

2058 = (3x)(x)(2x)
2058 = (6x^2)(2x)

2058 = 6x^3

Answer 2

(3w)x(2w)x(w)=2054
6w^3=2054
w^3=342.33
w=6.9955