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The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.
What is the volume of the pyramid in cubic centimeters?

Respuesta :

olayemiolakunle65

Answer:

volume = 13500 [tex]cm^{3}[/tex]

Step-by-step explanation:

For a given pyramid, its volume can be determined by:

volume of pyramid = [tex]\frac{lwh}{3}[/tex]

Where: l is the base length, w is the base width and h id the height of the pyramid.

For the given question, l 30 cm, w = 30 cm and h = 45 cm.

So that,

volume = [tex]\frac{30*30*45}{3}[/tex]

            = [tex]\frac{40500}{3}[/tex]

            = 13500

volume = 13500 [tex]cm^{3}[/tex]

The volume of the pyramid is 13500 [tex]cm^{3}[/tex].

batolisis

The volume of the square-based pyramid is [tex]13500cm^3[/tex]

The volume of a pyramid is given by

[tex]V=\dfrac{Ah}{3}[/tex]

where

[tex]A=\text{area of the square base}\\h=\text{perpendicular height}[/tex]

The area of the square base, [tex]A[/tex], is calculated as follows

[tex]A=side^2\\=(30cm)^2\\=900cm^2[/tex]

substitute the value of [tex]A[/tex], and [tex]h[/tex] ([tex]45cm[/tex]) into the volume formula to calculate the pyramid's volume

[tex]V=\dfrac{Ah}{3}\\\\=\dfrac{900\times 45}{3}\\\\=13500cm^3[/tex]

Therefore, the volume of the pyramid is [tex]13500cm^3[/tex]

Learn more about volume of pyramids here: https://brainly.com/question/1260835

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