Question

Question 1

Use the figure below to answer your the following question.

2 feet

The figure above is a cube. What is the total surface area of the cube?

A. 6 square feet
B. 20 square feet
C. 8 square feet
D. 24 square feet

Question 2
A campsite provides a locking rectangular box with the dimensions shown below to secure food from bears.

3 feet
5 feet
2 feet

What is the surface area of the box?
A. 30 square feet
B. 62 square feet
C. 31 square feet
D. 72 square feet

Question 3
Gina is painting the rectangular tool chest shown in the diagram below.

24 in.
12 in.
10 in.

If Gina paints only the outside of the tool chest what is the total surface area in square inches (in.²) she will paint

A. 368
B. 648
C. 1296
D. 2880

Question 5
A triangular prism is pictured below.

6cm
5cm
6.5cm
6.5cm
16cm

What is the surface area of the prism?

A. 240 cm²
B. 318 cm²
C. 270 cm²
D. 348 cm²

Answer 1

Answer 1:

D. 24 sq feet

The formula to find surface area of a cube is
`a=6a^(2)`

Substitute 2 for a,
`2^(2) = 4`

6 x 4 = 24, so 24 sq feet

Answer 2:

B. 62 sq feet

The formula to find surface area of a rectangular prism is
`a = 2(wl+wh+hl)`

Substitute 3 for w, 5 for l, 2 for h and multiply

a = 62 sq feet

Answer 3:

C. 1296 sq inches

The formula to find surface area of a rectangular prism is
`a = 2(wl+wh+hl)`

Substitute 24 for w, 12 for l, 10 for h and multiply

a = 1296 sq inches