Respuesta :
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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