Principal O"Shaughnessy has actually a paperweight in the form of a pyramid v a square base. If one next of the base has actually a length of 4cm and the elevation of the paperweight is 6cm, what is the volume of the paperweight?

Explanation:

We start by recalling the volume of a pyramid.

You are watching: Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet.

where

is the area of the base and is the height.Since the base is a square, us can discover the area through squaring the size of one of the sides.

Given the elevation is 6cm, we can now calculate the volume.

Since every one of the measurements were in centimeters, ours volume will certainly be in cubic centimeters.

Therefore, the volume of major O"Shaughnessy"s paperweight is

.The volume the a square pyramid is

. If a next of the square basic measures . What is the elevation of the pyramid?Explanation:

The formula for the volume the a pyramid is

, wherein is the area the the base and is the height.Using this formula,

= Area of the base, which is nothing however area that square with side .Now,

when simplified, girlfriend get .Hence, the height of the pyramid is

.A pyramid has height 4 feet. Its basic is a square v sidelength 3 feet. Give its volume in cubic inches.

Explanation:

Convert each measurement native inches to feet by multiplying it through 12:

Height: 4 feet =

inchesSidelength of the base: 3 feet =

inchesThe volume that a pyramid is

Since the base is a square, we can replace

:Substitute

The pyramid has volume 20,736 cubic inches.

The elevation of a ideal pyramid is

feet. Its basic is a square with sidelength feet. Provide its volume in cubic inches.Explanation:

Convert each of the measurements from feet to inches through multiplying by

.Height:

inchesSidelength the base:

inchesThe basic of the pyramid has actually area

square inches.Substitute

into the volume formula: cubic inchesThe elevation of a right pyramid and the sidelength the its square base are equal. The perimeter of the basic is 3 feet. Give its volume in cubic inches.

Explanation:

The perimeter of the square base,

feet, is indistinguishable to inches; divide by to acquire the sidelength that the base - and also the height: inches.The area the the base is therefore

square inches.In the formula for the volume the a pyramid, substitute

: cubic inches.Explanation:

Write the volume formula for the pyramid.

The base area is represented by

.Substitute the knowns right into the formula.

Explanation:

Write the formula because that the volume the a pyramid.

Substitute the dimensions and solve because that the volume.

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