Find the lateral area $L A$ of a triangular prism if length $l = 8 cm$ and height $h = 3 cm$ .

Answer

$483 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $h = 3 cm$ we have:

3 cm = \frac{3 \cdot a}{2}

3 \cdot a = 3 cm \cdot 2

3 \cdot a = 6 cm

a = \frac{6 cm}{3}

a = 23 cm

STEP 2: find lateral $A L$

To find lateral $A L$ use formula:

A L = 3 \cdot a \cdot l

After substituting $a = 23 cm$ and $l = 8 cm$ we have:

A L = 63 cm \cdot 8 cm

A L = 483 cm^{2}

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Find the lateral area LA of a triangular prism if length l=8cm and height h=3cm.

483​cm2

Find the lateral area $L A$ of a triangular prism if length $l = 8 cm$ and height $h = 3 cm$ .

$483 cm^{2}$