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The figure below is a net for a rectangular prism. Side a = 21 inches, side b = 17 inches, and side c = 11 inches. What is the surface area of this figure?

A. 1,550 square inches
B. 775 square inches
C. 3,927 square inches
D. 1,319 square inches

The figure below is a net for a rectangular prism. Side a = 21 inches, side b = 17 inches-example-1
User Molay
by
4.9k points

1 Answer

2 votes

Answer:

The answer is 1,550

Explanation:

First you find the area of the rectangle 1

Area = ab

=(21 in) (17in)

=357 sq in.

this will be the same for rectangle 3 = 357 sq. in.

next find the area of rectangle 2

area=ac

=(21 in) (11 in)

=231 sq in.

this will be the same for rectangle 4 = 231 sq. in.

next find the area of rectangle 5

area = bc

=(17 in) (11 in.)

=187 sq. in

this will be the same for rectangle 6 = 187 sq. in.

Next add all areas together

Total surface area = 2(ac) + 2(ab) + 2(bc)

= 2(231) sq in. + 2(357) sq in. + 2(187) sq. in

= 462 + 174+ 374

= 1550 sq. in

User Susampath
by
5.3k points
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