MATH SOLVE

2 months ago

Q:
# A rectangular prism has a volume of 960 cubic centimeters. What would be the volume of a rectangular pyramid with the same measurements for its base and height?Plz help! Will mark brainliest if answer has explanation!

Accepted Solution

A:

Answer: 320 cubic centimetersStep-by-step explanation:The formula for the volume of a prism with base area B and height h is ... V = BhThe formula for the volume of a pyramid or cone with base area B and height h is ... V = (1/3)BhThat is, a pyramid or cone with the same base area and height as a prism will have 1/3 the volume. 1/3 · 960 cm³ = 320 cm³ . . . . the volume of your pyramid_____Comment on the volume formulasYou will note that the shape of the base is irrelevant. For the 1/3 factor to apply, all that matters is that the sides of it come linearly to a point at the height h. That is, the dimensions of a cross section parallel to the base are proportional to the distance from the peak to the cross section.