Question

The Pyramid of Giza is one of the largest pyramid structures still standing in Egypt. It is a right pyramid with a square base, a base length of 230 m, and height of 150 m. The area of the base is __________ The volume is ________

Answer 1

Answer:- The area of base is 52900 square meters. The volume is 2654000 cubic meters.

Explanation:-

Base length of right pyramid (square) a =230m

Height of right pyramid = 150m

Area of base of right pyramid$=a^2=(230)^2=52900\ m^2$

Volume of right pyramid with square base$=\frac{1}{3}a^2h\\=\frac{1}{3}\times52900\times150=2645000\ m^3$

Thus, the area of base is 52900 square meters and the volume is 2654000 cubic meters.

Answer 2

The area of the base of the pyramid is 52900 m²

The volume of the square base pyramid of Giza is 2645000 m³

The pyramid is a square base pyramid. Therefore,

volume of a square base pyramid;

• v =  1 / 3 Bh

where

B = base area

h = height

h = 150 m

Therefore,

area of the base = l²

where

l = length of side

area of the base = 230² = 52900 m²

Volume = 1  / 3 × 52900 × 150

volume = 7935000 / 3

volume = 2645000 m³

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