Built for advanced Grade 5 measurement work, this worksheet pushes volume into fractional and decimal dimensions and compares two prisms by both volume and surface area. Multi-step problems include nested cubes and partial paint coverage, demanding careful reasoning about which faces and which dimensions matter. Multiple-choice items reinforce formula recall while fill-in items lock in surface-area computations using 2 times (lw plus lh plus wh).
Style:
Perimeter, Area, and Surface Area
Part A: Multiple Choice
Circle the best answer for each question.
1. A box measures 2.5 ft by 3 ft by 4 ft. What is its volume?
A) 30 cubic feet
B) 24 cubic feet
C) 9.5 cubic feet
D) 27 cubic feet
2. Prism A is 4 by 5 by 6 and Prism B is 3 by 4 by 10. Which has greater volume?
A) Prism A only
B) Prism B (120 cubic units vs 120)
C) Both equal at 120 cubic units
D) Cannot be determined
3. A cube has side length one half ft. What is its volume?
A) 1 cubic foot
B) 0.125 cubic feet
C) 0.25 cubic feet
D) 1.5 cubic feet
4. Box A holds 24 cubic in; box B has dimensions 2 by 3 by 5 in. How much more does box B hold?
A) 6 cubic inches less than A
B) Same as A, 24 cubic in
C) 30 cubic inches more total
D) 6 cubic inches more than A
Part B: Fill in the Blank
Write the correct answer on each line.
1. A prism with base area 12 sq ft and height 0.5 ft has volume 6 cubic feet.
2. A cube with side 3 ft has surface area 54 square feet (6 times s squared).
3. A box 2 by 4 by 5 in needs paint on all faces; surface area is 76 square inches.
4. A 1 by 1 by 1 ft cube fits inside a 2 by 2 by 2 ft cube; the empty space is 7 cubic feet.
5. If only 3 of 6 faces of a 4 by 4 by 4 ft cube are painted, painted area is 48 square feet.
Perimeter, Area, and Surface Area
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A box measures 2.5 ft by 3 ft by 4 ft. What is its volume?
A) 30 cubic feet
B) 24 cubic feet
C) 9.5 cubic feet
D) 27 cubic feet
2. Prism A is 4 by 5 by 6 and Prism B is 3 by 4 by 10. Which has greater volume?
A) Prism A only
B) Prism B (120 cubic units vs 120)
C) Both equal at 120 cubic units
D) Cannot be determined
3. A cube has side length one half ft. What is its volume?
A) 1 cubic foot
B) 0.125 cubic feet
C) 0.25 cubic feet
D) 1.5 cubic feet
4. Box A holds 24 cubic in; box B has dimensions 2 by 3 by 5 in. How much more does box B hold?
A) 6 cubic inches less than A
B) Same as A, 24 cubic in
C) 30 cubic inches more total
D) 6 cubic inches more than A
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A prism with base area 12 sq ft and height 0.5 ft has volume 6 cubic feet.
2) A cube with side 3 ft has surface area 54 square feet (6 times s squared).
3) A box 2 by 4 by 5 in needs paint on all faces; surface area is 76 square inches.
4) A 1 by 1 by 1 ft cube fits inside a 2 by 2 by 2 ft cube; the empty space is 7 cubic feet.
5) If only 3 of 6 faces of a 4 by 4 by 4 ft cube are painted, painted area is 48 square feet.
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9 Questions
12-18 minutes
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