shushi8
Answered

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The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyramid? 48 cm3 72 cm3 32 cm3 60 cm3​

Sagot :

alexisdenton2904

Answer:

72cm

Step-by-step explanation:

The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.

It is required to find the volume of the right square pyramid.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We know the formula for finding the volume (V) of a right square pyramid is:

[tex]\rm V= a^2\times\frac{h}{3}[/tex]    Where a is the base side and h is the height of the right square pyramid.

[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]

[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]

And h = 6 cm, putting this value in the above volume formula, wet get:

[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]

Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.

Learn more about the pyramid here:

https://brainly.com/question/1260835

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