11
QuizMultiple Choice

Volume of Prisms

Question 11 • Math 7 B (M12 25/26 S2)

A triangular prism has a base that is 6 cm by 4 cm and a height of 8 cm. If all dimensions are tripled, what happens to the volume?

Answer
A
When the dimensions are tripled, the volume is three times the original volume.
B
When the dimensions are tripled, the volume is six times the original volume.
C
When the dimensions are tripled, the volume is eighteen times the original volume.
D
When the dimensions are tripled, the volume is twenty-seven times the original volume.

Explanation

Volume depends on three dimensions: two dimensions of the triangular base and the prism’s length. Tripling each dimension multiplies the volume by 3 × 3 × 3 = 27. For example, the original volume is (½ × 6 × 4) × 8 = 96 cm³, and the enlarged volume is 27 × 96 = 2,592 cm³. So the volume becomes twenty-seven times the original volume.

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