Respuesta :
The volume of the pyramid with a square base where the perimeter of the base is 18.4 cm is 145.3 cm³.
What is of volume of pyramid?
Volume of pyramid is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a pyramid is the one third of the product of its square of its side and height.
[tex]V=\dfrac{a^2\times h}{3}[/tex]
Here, (a) is the side of the base and (h) is the height of the pyramid.
The perimeter of the base is 18.4 cm. Perimeter of square is 4 times its side. Thus, the side of the base is,
[tex]a=\dfrac{18.4}{4}\\a=4.6\rm\; cm[/tex]
The height of the pyramid is 20.6 cm. Thus, the volume of it is,
[tex]V=\dfrac{4.6^2\times 20.6}{3}\\V=145.3\rm\; cm^3[/tex]
Thus, the volume of the pyramid with a square base where the perimeter of the base is 18.4 cm is 145.3 cm³.
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