A pyramid has a base area of 44 cm² and a height of 12.6 cm.

What is the volume of the pyramid?

Enter your answer as a decimal.

Respuesta :

Answer:

=184.8 cm³

Step-by-step explanation:

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[tex]Volume\; of \; the \; \bold {Pyramid} = \bold{184.8 \; cm^3}[/tex]

Pyramids have been a symbol of great architecture inventions of the mankind. Egyptian People were the first once to design pyramids on a very large level.

Let a be the Side of Area of base of Pyramid . The base of a pyramid is a square shaped quadrilateral

The Volume of the Pyramid with base area [tex]A[/tex]  and height [tex]h[/tex] is given by the equation (1)

[tex]\rm Volume \; of \; the \; Pyramid = (1/3) A h....(1) \\A = a^2 \\a = One\; Side \; of\; the\; base[/tex]

A =  [tex]a^2 =[/tex] 44 [tex]cm^2[/tex]

h = [tex]12.6\; cm[/tex]

Putting these values in equation (1) we get

[tex]Volume\; of \; the \; Pyramid = (1/3) \times44 \times 12.6[/tex]

[tex]Volume\; of \; the \; Pyramid = \bold {184.8 \; cm^3}[/tex]

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https://brainly.com/question/17615619