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elena-s [515]
3 years ago
15

PYRAMIDS The Great Pyramid in Giza, Egypt has a square base with side lengths of 5x yards and a height of 4x –

Mathematics
1 answer:
Fiesta28 [93]3 years ago
8 0

Answer:

The value of x is equal to 50\ yd

The side length of the base b is 250\ yd

The height h is 150\ yd

Step-by-step explanation:

we know that

The volume of a square Pyramid is equal to

V=\frac{1}{3} b^{2}h

where

b is the length side of the square base

h is height of the pyramid

In this problem we have

V=3,125,000\ yd^{3}

b=5x\ yd

h=4x-50\ yd

substitute and solve for x

3,125,000=\frac{1}{3} (5x)^{2})(4x-50)

9,375,000=100x^{3} -1,250x^{2}\\ \\100x^{3} -1,250x^{2}-9,375,000=0

using a calculator

The value of x is equal to

x=50\ yd

Find the dimensions of the pyramid

The side length of the base b

b=5(50)=250\ yd

The height h

h=4(50)-50=150\ yd

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