Find the lateral area $L A$ of a triangular prism if length $l = 26 cm$ and height $h = 9 cm$ .

Answer

$4683 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $h = 9 cm$ we have:

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

3 \cdot a = 9 cm \cdot 2

3 \cdot a = 18 cm

a = \frac{18 cm}{3}

a = 63 cm

STEP 2: find lateral $A L$

To find lateral $A L$ use formula:

A L = 3 \cdot a \cdot l

After substituting $a = 63 cm$ and $l = 26 cm$ we have:

A L = 183 cm \cdot 26 cm

A L = 4683 cm^{2}

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Find the lateral area LA of a triangular prism if length l=26cm and height h=9cm.

4683​cm2

Find the lateral area $L A$ of a triangular prism if length $l = 26 cm$ and height $h = 9 cm$ .

$4683 cm^{2}$