Question

PLEASE HELP ME!!!

An open storage box is shaped like a square prism but without a top face. the base of the box is a square with side length 12 in., and the height of the box is 10 in. what is the surface area of the box?

A.) 600 square inches
B.) 624 square inches
C.) 768 square inches
D.) 1,440 square inches

Answer 1

B. 624 in²

Explanation:

a typical prism would have 6 faces (top, bottom, 4 sides), but this one will have only 5 (because there is no top). You just need to figure out the area of the bottom and the sides.

Bottom: 12"x12" = 144 in²

Side: 12"x10" = 120 in²

area of all 4 sides: 4(120 in²) = 480 in²

add area of sides and the bottom

480 + 144 = 624 in²