Find the lateral area $L A$ of a triangular prism if length $l = 13 cm$ and height $h = 2 cm$ .

Answer

$523 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $h = 2 cm$ we have:

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

3 \cdot a = 2 cm \cdot 2

3 \cdot a = 4 cm

a = \frac{4 cm}{3}

a = \frac{4 3}{3} cm

STEP 2: find lateral $A L$

To find lateral $A L$ use formula:

A L = 3 \cdot a \cdot l

After substituting $a = \frac{4 3}{3} cm$ and $l = 13 cm$ we have:

A L = 43 cm \cdot 13 cm

A L = 523 cm^{2}

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Find the lateral area LA of a triangular prism if length l=13cm and height h=2cm.

523​cm2

Find the lateral area $L A$ of a triangular prism if length $l = 13 cm$ and height $h = 2 cm$ .

$523 cm^{2}$