C. 56 square feet
Explanation:
Each cube has a surface area of 6 sides x 2 feet x 2 feet = 24 square feet. Since there are 3 cubes joined together, the total surface area of the piece of furniture is 24 square feet x 3 = 72 square feet. However, since one face of each cube is not exposed because it is inside the arrangement, the total surface area is actually 72 square feet - 16 square feet (for the interior faces) = 56 square feet.
The diagram below shows the design for a piece of furniture made of 3 cubes joined together.
Two cubes vertically aligned, and the first cube has a cube to the left of it. Each cube has a side length 2 feet.
What is the total surface area of the piece of furniture?
A.
24 square feet
B.
28 square feet
C.
56 square feet
D.
72 square feet
1 answer