Bases are squares with sides that measure 27 inches. The height is 12 inches.

Question

asked May 9, 2021 143k views

1 Answer

George T · Answer 1 · 2021-05-14T12:05:17+0000

Answer:

Part 1)
$V=8,748\ in^3$

Part 2)
$SA=2,754\ in^2$

Explanation:

The correct question is

Find the volume and the surface area of a rectangular prism. Bases are squares with sides that measure 27 inches. The height is 12 inches.

Part 1) Find the volume of the prism

The volume of the prism is equal to

V=Bh

where

B is the area of the base

h is the height of the prism

Find the area of the base B

$B=27^2=729\ in^2$ ---> the base is a square

we have

$h=12\ in$

substitute

$V=(729)(12)=8,748\ in^3$

Part 2) Find the surface area of the prism

The surface area of the prism is equal to

SA=2B+Ph

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

Find the perimeter of the base P

$P=4(27)=108\ in$

substitute the values in the formula

$SA=2(729)+108(12)=2,754\ in^2$