Question

Help please! Show work and explain....

Answer 1

18

Explanation:

The formula of a volume of a rectangular prism:

`V=lwh`

l - length

w - width

h - height

We have l = 3, w = 3 and V = 54. Substitute:

`54=(3)(3)(h)`

`54=9h` divide both sides by 9

`6=h\to h=6`

The perimeter of the shaded face:

`P=2h+2w`

Substitute:

`P=2(6)+2(3)=12+6=18`