4
QuizMultiple Choice

Volume of Pyramids — Quiz

Question 4 • Grade 7 Mathematics

Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centimeters by 6 centimeters? Choose two correct answers.

Answer
A
A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times the volume of this pyramid.
B
The area of the base of the pyramid, cap b , is 24 cm squared .
C
The area of the base of the pyramid, cap b , is 8 cm squared .
D
The volume of this pyramid is 216 cm cubed .
E
A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 1 third of the volume of this pyramid.

Explanation

The base area is 4 × 6 = 24 cm², so statement B is true. A rectangular prism with the same base and height has volume 24 × 9 = 216 cm³. A pyramid with that base and height has one third of the prism’s volume, or 72 cm³, so the prism has 3 times the pyramid’s volume, making statement A true.

AI-written and checked against the verified answer.

Previous
Next