Question

A net and the prism it will form when it is folded are shown below.

What is the surface area of the prism in square centimeters?
A)724 square centimeters
B)972 square centimeters
C)1,089 square centimeters
D)1,320 square centimeters

Answer 1

Answer:

Option A)724 square centimeters

Step-by-step explanation:

we know that

The surface of the prism is equal to the area of its six rectangular faces

The surface area 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

we have

$L=12\ cm$

$W=11\ cm$

$H=10\ cm$

Find the area of the base B

$B=LW$

$B=(12)(11)=132\ cm^{2}$

Find the perimeter of the base P

$P=2(L+W)$

$P=2(12+11)=46\ cm$

Find the surface area SA

$SA=2(132)+(46)(10)=724\ cm^{2}$

Answer 2

Answer: (A)

Step-by-step explanation: 724 square centimeters. Hope this helps :)