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? Check all that apply.

1. The area of the base of the pyramid, B, is 36 in3

2. The area of the base of the pyramid, B, is 108 in3

3. A rectangular prism with the dimensions of 9 in. by 12 in. by 15 in. will have the same volume as this pyramid.

4. The volume of this pyramid is 540in 3

5. A rectangular prism with the dimensions of 9 in. by 12 in. by 15 in. will have 3 times volume of this pyramid.

Question

Mathematics

Rachel Clark

29 March, 02:43

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? Check all that apply.

1. The area of the base of the pyramid, B, is 36 in3

2. The area of the base of the pyramid, B, is 108 in3

3. A rectangular prism with the dimensions of 9 in. by 12 in. by 15 in. will have the same volume as this pyramid.

4. The volume of this pyramid is 540in 3

5. A rectangular prism with the dimensions of 9 in. by 12 in. by 15 in. will have 3 times volume of this pyramid.

+3

Answers (1)

Know the Answer?

Ramon Foster · Answer 1

The correct choices are numbers four and five. To find the volume of this pier amid, you will use the formula.

V = 1/3 x B x h, where B represents the area of the base.

1/3 x 108 x 15

V = 540 in.³.

To find the volume of a rectangular prism with these dimensions you would also use a formula.

V = Bh

108 x 15

V = 1620 in.³ This is triple the volume of the pyramid.