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 answer is 1,550

Step-by-step 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

5

step-by-step explanation: