6
QuizMultiple Choice

Volume of Prisms — Quiz

Question 6 • MASTER COURSE Geometry

An oblique rectangular prism with a square base has a volume of 539 cubic units. The edges of the prism measure 7 by 7 by 14 units. How many units longer is the slanted edge length of the prism, 14, compared to its perpendicular height?

Answer
A
1 unit
B
4 units
C
2 units
D
3 units

Explanation

The square base has area 7 × 7 = 49 square units. Since volume equals base area times perpendicular height, the height is 539 ÷ 49 = 11 units. The slanted edge is 14 units, so it is 14 − 11 = 3 units longer; the correct choice is A, 3 units.

AI-written and checked against the verified answer.

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