Question

It is a square pyramid with a base edge of 706 feet and an original height of 470 feet.

What was the original volume of the Khafre Pyramid? Show your work.

Answer 1

The original volume of the Khafre Pyramid, given it is a square pyramid with a base edge of 706 feet and an original height of 470 feet is 7.81 × 10^7 ft³

Given,

A square pyramid with a base edge of 706 feet and an original height of 470 feet.

The original volume of the Khafre Pyramid is given by,

Given,

Base edge = a = 706 ft

Height = h = 470 ft

The formula for calculating the volume of a right square pyramid is given by,

V = a²(h/3)

where, V = volume of the right square pyramid

V = 706² ( 470 / 3)

= 706² ( 156.67)

= 7.81 × 10^7 ft³

Answer 2

The original volume of the square pyramid is 78088306.67 feet³

Step-by-step explanation:

• Here it given about square pyramid.

• We know that base of square pyramid is square.

        Side of square (a) = 706 feet

        Height of square pyramid(H) = 470 feet

• Area of base = Area of square = a²=706² = 498436 feet²

• We know the formula of volume of pyramid

        $\mathbf{Volume \ of \ pyramid\ (V)=\frac{1}{3}\times Area\ of\ base \times Height}$

• $\mathbf{Volume \ of \ square\ pyramid\ (V)=\frac{1}{3}\times 498436\times 470}$

        On solving, we get

        Volume of square pyramid = 78088306.67 feet³