Find the height $h$ of a pyramid if side $a = 6 cm$ and slant height $s = 12 cm$ .

Answer

$315 cm$

Explanation

To find height $h$ use Pythagorean Theorem:

h^{2} + \frac{a ^{2}}{4} = s^{2}

After substituting $a = 6 cm$ and $s = 12 cm$ we have:

h^{2} + \frac{( 6 cm ) ^{2}}{4} = (12 cm)^{2}

h^{2} + \frac{36 cm ^{2}}{4} = (12 cm)^{2}

h^{2} + 9 cm^{2} = (12 cm)^{2}

h^{2} = 144 cm^{2} - 9 cm^{2}

h^{2} = 135 cm^{2}

h = 135 cm^{2}

h = 315 cm

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Find the height h of a pyramid if side a=6cm and slant height s=12cm.

315​cm

Find the height $h$ of a pyramid if side $a = 6 cm$ and slant height $s = 12 cm$ .

$315 cm$