Answered

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What is the volume of a regular pyramid having a base area of 24 inches and height of 6 inches

Sagot :

jcherry99

Answer:

V= 48 in^2

Step-by-step explanation:

Formula

Since the base has a known area, we do not need the full volume formula. This formula is

V = B * h / 3

B is the area of the base and h is the height measured from the top of the pyramid to the base meeting the base at right angles.

Givens

B = 24 in^2

h = 6 in

Solution

V = B * h / 3

V = 24 * 6/3

V= 48 in^2

spbankingandsscserie

❁ Question -:

If the base area of a regular pyramid is 24 inches and the height is 6 inches. Find the volume of the regular pyramid ?

❁ Explanation -:

In this question we are provided with the base area that is 24 inches and it is also given that the height is 6 inches. We are asked to calculate the volume of the regular pyramid.

We know,

[tex]✡ \: \small \underline{ \boxed{\sf {{Volume_{(pyramid)} = \dfrac{1}{3}×B × H}}}}[/tex]

Where,

  • B stand for base area.
  • H stand for height.

Substituting the values we get

[tex] \small\frak{ Volume_{(pyramid)} = \dfrac{1}{3}×24 × 6}[/tex]

[tex] \small\frak{ Volume_{(pyramid)} = 24 × 2}[/tex]

[tex] \small\frak {Volume_{(pyramid)} =48 \: inches}[/tex]

[tex] \small \underline{\boxed{ \frak{ Volume \: of \: a \: pyramid = 48 {inches }^{3} }}}[/tex]

  • Hence the volume of the pyramid is 48 inches ³.

NoTe : Always make sure that the volume will be in units³.

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