Find the slant height $s$ of a pyramid if side $a = 10 cm$ and total surface $A = 260 cm$ .

Answer

$8$

Explanation

STEP 1: find base area $B$

To find base area $B$ use formula:

B = a^{2}

After substituting $a = 10 cm$ we have:

B = (10 cm)^{2}

B = 100 cm^{2}

STEP 2: find lateral surface $L$

To find lateral surface $L$ use formula:

A = B + L

After substituting $A = 260 cm$ and $B = 100 cm^{2}$ we have:

260 cm = 100 cm^{2} + L

L = 260 cm - 100 cm^{2}

L = 160 cm

STEP 3: find slant height $s$

To find slant height $s$ use formula:

L = 2 \cdot a \cdot s

After substituting $L = 160 cm$ and $a = 10 cm$ we have:

160 cm = 2 \cdot 10 cm \cdot s

160 cm = 20 cm \cdot s

s = \frac{160 cm}{20 cm}

s = 8

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Find the slant height s of a pyramid if side a=10cm and total surface A=260cm.

8

Find the slant height $s$ of a pyramid if side $a = 10 cm$ and total surface $A = 260 cm$ .

$8$