This Grade 5 sheet extends volume and surface area through multi-step word problems. Students choose between V = l x w x h and SA = 2lw + 2lh + 2wh based on context: filling a pool needs volume, while painting a closed box needs surface area. Fill-in items practice both formulas with cubes and rectangular prisms, while multiple-choice items test conceptual understanding of when to use each formula in real-world scenarios.
Style:
Perimeter, Area, and Surface Area
Part A: Multiple Choice
Circle the best answer for each question.
1. Which formula finds how much paint is needed to cover the outside of a closed box?
A) SA = 2lw + 2lh + 2wh
B) V = l x w x h
C) P = 2(l+w)
D) A = 1/2 x b x h
2. Which formula tells how much water fills a fish tank?
A) SA = 2lw + 2lh + 2wh
B) V = l x w x h
C) A = l x w
D) P = 4 x s
3. A storage box is 8 m x 5 m x 4 m. What is its volume?
A) 80 cubic m
B) 120 cubic m
C) 160 cubic m
D) 200 cubic m
4. A cube has side 6 ft. What is its surface area?
A) 36 sq ft
B) 144 sq ft
C) 180 sq ft
D) 216 sq ft
Part B: Fill in the Blank
Write the correct answer on each line.
1. A rectangular prism 7 ft x 4 ft x 3 ft has volume 84 cubic ft.
2. A box 10 cm x 6 cm x 4 cm has surface area 248 sq cm.
3. A cube of side 7 m has volume 343 cubic m.
4. A swimming pool 12 m x 6 m x 2 m holds 144 cubic m of water.
5. A box 5 in x 5 in x 5 in has surface area 150 sq in.
Perimeter, Area, and Surface Area
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Which formula finds how much paint is needed to cover the outside of a closed box?
A) SA = 2lw + 2lh + 2wh
B) V = l x w x h
C) P = 2(l+w)
D) A = 1/2 x b x h
2. Which formula tells how much water fills a fish tank?
A) SA = 2lw + 2lh + 2wh
B) V = l x w x h
C) A = l x w
D) P = 4 x s
3. A storage box is 8 m x 5 m x 4 m. What is its volume?
A) 80 cubic m
B) 120 cubic m
C) 160 cubic m
D) 200 cubic m
4. A cube has side 6 ft. What is its surface area?
A) 36 sq ft
B) 144 sq ft
C) 180 sq ft
D) 216 sq ft
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A rectangular prism 7 ft x 4 ft x 3 ft has volume 84 cubic ft.
2) A box 10 cm x 6 cm x 4 cm has surface area 248 sq cm.
3) A cube of side 7 m has volume 343 cubic m.
4) A swimming pool 12 m x 6 m x 2 m holds 144 cubic m of water.
5) A box 5 in x 5 in x 5 in has surface area 150 sq in.
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9 Questions
12-18 minutes
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