Question

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? Check all that apply.

A.The area of the base of the pyramid, B, is 8cm2.
B.The area of the base of the pyramid, B, is 24cm2.
C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
D.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 1/3 of the volume of this pyramid.
E.The volume of this pyramid is 72cm3.
F.The volume of this pyramid is 216cm3.

Answer 1

B.The area of the base of the pyramid is 24cm^2.

C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

E.The volume of this pyramid is 72cm3.

Explanation:

Area of base of the pyramid = l × w = 4 × 6 = 24 cm^2

Volume of rectangular pyramid = (l × w × h)/3 = (4 × 6 × 9)/3 = 72 cm^3

Volume of rectangular prism = w × h × l = 9 × 4 × 6 = 216 cm^3

So according to these calculations, the correct answer options are:

B.The area of the base of the pyramid is 24cm^2.

C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

E.The volume of this pyramid is 72cm3.