3
QuizMultiple Choice

Volume of Pyramids — Quiz

Question 3 • Grade 7 Mathematics

Which statements are true about a rectangular pyramid with a height of 15 inches and a base with the dimensions of 12 inches and 9 inches? Choose three correct answers.

Answer
A
A rectangular prism with the dimensions of 9 in. by 12 in. by 15 in. will have 3 times volume of this pyramid.
B
The area of the base of the pyramid, cap b , is 36 in squared .
C
The volume of this pyramid is 540 in cubed .
D
The area of the base of the pyramid, cap b , is 108 in squared .
E
A rectangular prism with the dimensions of 9 in. by 12 in. by 15 in. will have the same volume as this pyramid.

Explanation

The base is a rectangle measuring 12 inches by 9 inches, so its area is 12 × 9 = 108 square inches. A pyramid’s volume is one-third the base area times its height: (1/3) × 108 × 15 = 540 cubic inches. The rectangular prism with the same base and height has volume 108 × 15 = 1,620 cubic inches, which is three times the pyramid’s volume. Thus, the true statements are that the prism has three times the volume, the pyramid’s volume is 540 cubic inches, and its base area is 108 square inches.

AI-written and checked against the verified answer.

Previous
Next