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Step-by-step explanation:

V

=

a

2

h

3

=

142

2

·

93

3

=

6.25084×105

The volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

What is a pentahedron?

A Square Pyramid is a pyramid with the base as a square. It is also known as pentahedron. It has 5 faces out of which 4 are triangles while 1 is a square.

The volume of the square pyramid is one-third of the product of the area of the square and the height of the pyramid. Thus, the volume of the square pyramid with a side length of 142 m and a height of 93 m can be written as,

[tex]\rm \text{Volume of square pyramid} = \dfrac13 \times \text{(Area of square)} \times Height[/tex]

                                          [tex]= \dfrac13 \times (142)^2 \times 93\\\\= 625,084\rm\ m^3[/tex]

Hence, the volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

Learn more about Square Pyramid:

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