What is the volume in cubic cm of a pyramid whose area of the base is $25 s q c m$ height $9 c m$ ?

75 c m^{3}

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70 c m^{3}

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100 c m^{3}

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None of these

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Solution

The correct option is A $75 c m^{3}$

Given

Area of base $25 c m^{2}$

Height of pyramid $9 c m$

Volume of pyramid is $\frac{1}{3} \times A r e a \times H e i g h t$

$⟹ \frac{1}{3} \times 25 \times 9$

$⟹ 25 \times 3 = 75 c m^{3}$

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