Students solve three multi-step volume problems — unit conversion before computing, comparing two prisms, and predicting the effect of doubling dimensions. Part B has five fill-in-the-blank problems about meters-to-centimeters volume, volume differences, and the effect of tripling height.
Multi-step volume reasoning — converting units before computing and predicting how changing one dimension scales the volume — is the most advanced volume skill at Grade 5 and prepares students for surface area and scaling in middle school.
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Volume of Rectangular Prisms
Part A: Multiple Choice
Circle the best answer for each question.
1. A box is 2 m long, 1 m wide, and 50 cm tall. What is its volume in cm³? (1 m = 100 cm)
A) 100,000 cm³
B) 1,000,000 cm³
C) 10,000 cm³
D) 500,000 cm³
2. Prism A is 8×5×4 cm and Prism B is 6×5×5 cm. Which has the greater volume and by how much?
A) Prism A by 10 cm³
B) Prism B by 10 cm³
C) They are equal
D) Prism A by 20 cm³
3. A prism has volume 360 cm³. If both length and width are doubled, what is the new volume?
A) 720 cm³
B) 1,440 cm³
C) 2,880 cm³
D) 360 cm³
4. A cube has a volume of 125 in³. What is the length of one edge?
A) 25 in
B) 5 in
C) 10 in
D) 15 in
Part B: Fill in the Blank
Write the correct answer on each line.
1. A rectangular prism is 3 m × 2 m × 4 m. Its volume in cm³ is 24,000,000 cm³.
2. A prism 12×5×4 cm holds 40 more cm³ than one that is 10×4×5 cm.
3. If you triple the height of a 2×3×4 cm prism, the new volume is 72 cm³.
4. A cube with edges of 6 cm has a volume of 216 cm³.
5. Two prisms have equal volumes: one is 9×4×h and the other is 6×6×3. The value of h is 3.
Volume of Rectangular Prisms
★ Part A: Multiple Choice
Circle the best answer for each question.
1. A box is 2 m long, 1 m wide, and 50 cm tall. What is its volume in cm³? (1 m = 100 cm)
A) 100,000 cm³
B) 1,000,000 cm³
C) 10,000 cm³
D) 500,000 cm³
2. Prism A is 8×5×4 cm and Prism B is 6×5×5 cm. Which has the greater volume and by how much?
A) Prism A by 10 cm³
B) Prism B by 10 cm³
C) They are equal
D) Prism A by 20 cm³
3. A prism has volume 360 cm³. If both length and width are doubled, what is the new volume?
A) 720 cm³
B) 1,440 cm³
C) 2,880 cm³
D) 360 cm³
4. A cube has a volume of 125 in³. What is the length of one edge?
A) 25 in
B) 5 in
C) 10 in
D) 15 in
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A rectangular prism is 3 m × 2 m × 4 m. Its volume in cm³ is 24,000,000 cm³.
2) A prism 12×5×4 cm holds 40 more cm³ than one that is 10×4×5 cm.
3) If you triple the height of a 2×3×4 cm prism, the new volume is 72 cm³.
4) A cube with edges of 6 cm has a volume of 216 cm³.
5) Two prisms have equal volumes: one is 9×4×h and the other is 6×6×3. The value of h is 3.
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9 Questions
12-18 minutes
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