Find the height $h$ of a pyramid if side $a = 11 cm$ and volume $V = 1452 cm$ .

Answer

$36 cm^{-} 1$

Explanation

To find height $h$ use formula:

V = \frac{a ^{2} \cdot h}{3}

After substituting $V = 1452 cm$ and $a = 11 cm$ we have:

1452 cm = \frac{11 cm ^{2} \cdot h}{3}

1452 cm \cdot 3 = 11 cm^{2} \cdot h

4356 cm = 121 cm^{2} \cdot h

h = \frac{4356 cm}{121 cm ^{2}}

h = 36 cm^{-} 1

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Find the height h of a pyramid if side a=11cm and volume V=1452cm.

36cm−1

Find the height $h$ of a pyramid if side $a = 11 cm$ and volume $V = 1452 cm$ .

$36 cm^{-} 1$