Find the area $A$ of a pyramid if slant height $s = 15.3 cm$ and base area $B = 64 cm$ .

Answer

$308.8 cm$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

After substituting $B = 64 cm$ we have:

B = a^{2}

a^{2} = 64 cm

a = 64 cm

a = 8

STEP 2: find lateral surface $L$

To find lateral surface $L$ use formula:

L = 2 \cdot a \cdot s

After substituting $a = 8 cm^{0}$ and $s = 15.3 cm$ we have:

L = 16 \cdot 15.3 cm

L = 244.8 cm

STEP 3: find total surface $A$

To find total surface $A$ use formula:

A = B + L

After substituting $B = 64 cm$ and $L = 244.8 cm$ we have:

A = 64 cm + 244.8 cm

A = 64 cm + 244.8 cm

A = 308.8 cm

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Find the area A of a pyramid if slant height s=15.3cm and base area B=64cm.

308.8cm

Find the area $A$ of a pyramid if slant height $s = 15.3 cm$ and base area $B = 64 cm$ .

$308.8 cm$