Question

The figure shown is composed of two cubes. (Not shown below)

Which equation shows the surface area of the figure?
Bottom box = 6(3*3)
Top box = 6(2*2)
Overlap area = ???

SA = 6(3*3) + 6(2*2) - 2(2*2)
SA = 6(3*3) + 6(2*2) + 2(2*2)
SA = 6(3*3) + 6(2*2) + 2(3*3)
SA = 6(3*3) + 6(2*2) - 2(2*2)

Answer 1

The equation that shows the surface area of the figure is SA = 6(3*3) + 6(2*2) - 2(2*2). Therefore correct option is D

Step-by-step explanation:

The equation that shows the surface area (SA) of the figure is: SA = 6(3*3) + 6(2*2) - 2(2*2)

Let's break down the equation step by step:

1. We start with the surface areas of the bottom and top boxes:

• Bottom box surface area = 6(3*3) = 54
• Top box surface area = 6(2*2) = 24

2. Then we subtract the overlap area:

• Overlap area = 2(2*2) = 8

3. Finally, we add the surface areas of the bottom and top boxes back together, and subtract the overlap area:

• SA = 54 + 24 - 8

Therefore, the equation that shows the surface area of the figure is: SA = 6(3*3) + 6(2*2) - 2(2*2).