Question

The object above is made up of 1-inch cubes. What is the surface area of the object?

A.
52 inches2
B.
63 inches2
C.
48 inches2
D.
54 inches2

Answer 1

52 inches2

Explanation:

The figure is a rectangular solid with length (L) = 4 in., width (W) = 3 in. and height (H) = 2 in. To find the surface area, first find the area of each side and then add them together.

Sides 1 & 2 will have an area equal to L × W = 12 inches2.

Sides 3 & 4 will have an area equal to L × H = 8 inches2.

Sides 5 & 6 will have an area equal to W × H = 6 inches2.

The total surface area is

(2 × 12 in.2) + (2 × 8 in.2) + (2 × 6 in.2)

= 24 in.2 + 16 in.2 + 12 in.2

= 52 inches2.