Question

Which figure has a greater volume and by how much?

2 figures. One figure has a rectangular prism with length 15 centimeters, width of 6 centimeters, and height of 5 centimeters. A triangular prism has a triangular base with base of 15 centimeters and height of 3 centimeters. The height of the prism is 6 centimeters. The second figure has a rectangular prism with a length of 15 centimeters, width of 6 centimeters, and height of 5 centimeters. A rectangular prism has a base of 15 centimeters by 6 centimeters and a height of 3 centimeters.
The volume of figure 1 is 45 centimeters cubed greater than the volume of figure 2.
The volume of figure 2 is 45 centimeters cubed greater than the volume of figure 1.
The volume of figure 1 is 120 centimeters cubed greater than the volume of figure 2.
The volume of figure 2 is 120 centimeters cubed greater than the volume of figure 1.

Answer 1

Answer: A

Explanation:

took the quiz

Answer 2

A (The volume of figure 1 is 45 centimeters cubed greater than the volume of figure 2.)

Explanation:

I did the math and it the base is 90 and the height for the prism is 5 so the volume for the prism is 450 and thats the same for both

For the top they have the same measurements too but one is a pyramid and other triangle so the formula for pyramid is V=1/3(b(h) and v=1/2(B)H)