Perimeter, Area, and Surface Area — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A box is 4 ft long, 3 ft wide, 2 ft tall. What is its volume?
A) 24 cubic ft
B) 12 cubic ft
C) 9 cubic ft
D) 26 cubic ft
V = l x w x h = 4 x 3 x 2 = 24 cubic feet for the rectangular prism.
2. A fish tank is 10 in by 6 in by 8 in. What is the volume needed to fill it?
A) 240 cubic in
B) 480 cubic in
C) 60 cubic in
D) 376 cubic in
V = 10 x 6 x 8 = 480 cubic inches, the amount of water needed to fill the tank.
3. A room is 12 ft by 10 ft by 8 ft. How much wall and ceiling paint surface area is needed (all 6 faces)?
A) 240 sq ft
B) 560 sq ft
C) 592 sq ft
D) 192 sq ft
SA = 2(120) + 2(96) + 2(80) = 240 + 192 + 160 = 592 square feet for all six faces.
4. A cube has side length 5 cm. What is its surface area?
A) 125 sq cm
B) 100 sq cm
C) 30 sq cm
D) 150 sq cm
SA = 6 x (5 x 5) = 6 x 25 = 150 square centimeters since all six faces are 5x5.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A prism 5 m x 4 m x 3 m has volume 60 cubic meters.
V = 5 x 4 x 3 = 60 cubic meters using the prism volume formula.
2. A box 6 ft x 5 ft x 2 ft has surface area 104 sq ft.
SA = 2(30) + 2(12) + 2(10) = 60 + 24 + 20 = 104 square feet.
3. A cube 4 in on each side has volume 64 cubic in.
V = 4 x 4 x 4 = 64 cubic inches for a cube with 4-inch sides.
4. A tank 8 cm x 5 cm x 10 cm holds 400 cubic cm of water when full.
V = 8 x 5 x 10 = 400 cubic centimeters of water capacity.
5. A box 3 m x 3 m x 3 m has surface area 54 sq m.
SA = 6 x (3 x 3) = 6 x 9 = 54 square meters since the cube has six 3x3 faces.