Volume of Rectangular Prisms — Answer Key
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
Convert: 2m=200cm, 1m=100cm, 50cm. V=200×100×50=1,000,000 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
Prism A: 8×5×4=160. Prism B: 6×5×5=150. Prism A is greater by 10 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
Doubling length and width multiplies volume by 2×2=4. 360×4=1,440 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
V = s³ → s = ∛125 = 5. Check: 5×5×5=125 in³.
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.
Convert: 3m=300cm, 2m=200cm, 4m=400cm. V=300×200×400=24,000,000 cm³.
2. A prism 12×5×4 cm holds 40 more cm³ than one that is 10×4×5 cm.
First: 12×5×4=240. Second: 10×4×5=200. Difference: 240−200=40 cm³.
3. If you triple the height of a 2×3×4 cm prism, the new volume is 72 cm³.
Original: 2×3×4=24. Triple the height: 2×3×12=72 cm³. Or 24×3=72.
4. A cube with edges of 6 cm has a volume of 216 cm³.
V = 6×6×6 = 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.
6×6×3=108. So 9×4×h=108 → 36h=108 → h=3.