This Grade 5 worksheet completes the perimeter-area-surface-area arc with prism comparisons, fractional edges (one third yard cubes), and nested boxes. Students decide which prism has greater volume or surface area, painting only some faces, and compute leftover space when smaller boxes sit inside larger ones. Multi-step reasoning, careful unit handling, and connection to 5.NF.6 fractional multiplication make this a strong capstone challenge.
Style:
Perimeter, Area, and Surface Area
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
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
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
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
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. A cube with side one third yard has volume 1/27 cubic yards (write fraction).
3. Painting 4 of 6 faces of a 5 by 5 by 5 ft cube covers 100 square feet.
4. A prism 3 by 4 by 5 has surface area 2(12+15+20) equals 94 square units.
5. A nested 1 by 2 by 3 ft box inside a 3 by 4 by 5 ft box leaves 54 cubic feet empty.
Perimeter, Area, and Surface Area
★ 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
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
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
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
★ 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) A cube with side one third yard has volume 1/27 cubic yards (write fraction).
3) Painting 4 of 6 faces of a 5 by 5 by 5 ft cube covers 100 square feet.
4) A prism 3 by 4 by 5 has surface area 2(12+15+20) equals 94 square units.
5) A nested 1 by 2 by 3 ft box inside a 3 by 4 by 5 ft box leaves 54 cubic feet empty.
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9 Questions
12-18 minutes
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