MATH SOLVE

7 months ago

Q:
# Find the volume v of the described solid s. a pyramid with height 2h and rectangular base with dimensions 4b and 8b

Accepted Solution

A:

The volume of the rectangular pyramid with the height and rectangular base in the given terms is 64b²h/3.What is a Rectangular Pyramid?A rectangular pyramid is simply a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.The volume of rectangular pyramid is expressed as;V = (1/3) × l × w × hWhere l is the base length, w is the base width and h is the height of the pyramid.Given the data in the question;Height of pyramid h = 2hBase width w = 4bBase length l = 8bVolume V = ?To determine the volume of the rectangular pyramid, we substitute our given values into the expression above.V = (1/3) × l × w × hV = (1/3) × 8b× 4b × 2hV = 64b²h/3Therefore, the volume of the rectangular pyramid with the height and rectangular base in the given terms is 64b²h/3.Learn more about volume of pyramids here: