Perimeter, Area, and Surface Area — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A storage bin is 1.5 ft by 2 ft by 3 ft. What is its volume?
A) 9 cubic feet
B) 6.5 cubic feet
C) 4.5 cubic feet
D) 12 cubic feet
1.5 times 2 equals 3; 3 times 3 equals 9 cubic feet.
2. Which prism has greater surface area: A (2 by 2 by 8) or B (2 by 4 by 4)?
A) A and B equal at 64 sq units
B) Prism A has more, 72 vs 64
C) They differ by 100 square units
D) Prism B has more, 64 vs 72
A: 2 times (4+16+16) is 72; B: 2 times (8+8+16) is 64.
3. A cube with side 0.4 m has volume closest to which value?
A) 0.16 cubic meters
B) 0.4 cubic meters
C) 0.064 cubic meters
D) 1.2 cubic meters
0.4 cubed is 0.064 cubic meters, the volume of the cube.
4. A 2 by 2 by 2 ft box sits inside a 3 by 3 by 3 ft box. Empty volume between them is?
A) 1 cubic foot only
B) 8 cubic feet
C) 27 cubic feet exactly
D) 19 cubic feet
27 minus 8 equals 19 cubic feet of empty space remaining.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A prism with length 2.5, width 4, and height 6 has volume 60 cubic units.
2.5 times 4 is 10; 10 times 6 equals 60 cubic units.
2. A cube with side one third yard has volume 1/27 cubic yards (write fraction).
One third cubed equals one over twenty-seven cubic yards exactly.
3. Painting 4 of 6 faces of a 5 by 5 by 5 ft cube covers 100 square feet.
Four faces of 25 square feet each gives 100 square feet.
4. A prism 3 by 4 by 5 has surface area 2(12+15+20) equals 94 square units.
Sum 47 doubled equals 94 square units of surface area.
5. A nested 1 by 2 by 3 ft box inside a 3 by 4 by 5 ft box leaves 54 cubic feet empty.
Outer 60 minus inner 6 equals 54 cubic feet empty.