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Bumek [7]
3 years ago
13

Find the volume of a hexagonal pyramid with a base area of 147 square meters and a height of 4 meters.(1 point) 294 cubic meters

588 cubic meters 147 cubic meters 196 cubic meters
Mathematics
1 answer:
irina1246 [14]3 years ago
7 0

Answer:

Volume of a hexagonal pyramid = 588 square meter

Step-by-step explanation:

Given:

Base area of hexagonal pyramid = 147 square meter

Height of hexagonal pyramid = 4 meter

Find:

Volume of a hexagonal pyramid

Computation:

Volume of a hexagonal pyramid = Base area of hexagonal pyramid x Height of hexagonal pyramid

Volume of a hexagonal pyramid = 147 x 4

Volume of a hexagonal pyramid = 588 square meter

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The ratio of the area of region R to the area of region S is:

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<h2>Step-by-step explanation:</h2>

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Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

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We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

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\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

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\text{Area\ of\ Rectangle}=2x\times 3x

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\text{Area\ of\ Rectangle}=6x^2

Hence,

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=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

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