The volume of a rectangular prism with length 4, width 3, height h is 72. Solve for h.

The volume of a rectangular prism with length 4, width 3, height h is 72. Solve for h.

• A. 2
• B. 4
• C. 6
• D. 8

Answer: (C)

Volume is found by multiplying length, width, and height. With length 4 and width 3, their product is 12. The given volume is 72, so 12 times the height must equal 72. Therefore height h = 72 / 12 = 6. Check: 4 × 3 × 6 = 72. If the height were 2, the volume would be 24; if 4, it would be 48; if 8, it would be 96. Only 6 gives 72.

Volume is found by multiplying length, width, and height. With length 4 and width 3, their product is 12. The given volume is 72, so 12 times the height must equal 72. Therefore height h = 72 / 12 = 6.

Check: 4 × 3 × 6 = 72. If the height were 2, the volume would be 24; if 4, it would be 48; if 8, it would be 96. Only 6 gives 72.