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? Select two options.
The area of the base of the pyramid, B, is 8 cm.
The area of the base of the pyramid, B, is 24 cm?
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times the volume of this pyramid.
1
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 of the volume of this pyramid.
The volume of this pyramid is 216 cm

- The area of the base of the pyramid, B, is 24 cm

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

Step-by-step explanation: Volume of a rectangular based pyramid = 1/3{Base area × Height}

Base Area = Length × Breadth

Volume = 1/3{(Length × Breadth) × Height}

Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4

centimeters by 6 centimeters

Base Area = 4cm × 6cm

Base area = 24cm²

If Height =9cm

Volume of the pyramid = 1/3 × 24 × 9

Volume = 24 × 3

Volume of the pyramid = 72cm³

If the shape is a prism, the volume will be base area × height

= 24 × 9

= 216cm³

It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.