Find the area $A$ of a triangular prism if length $l = 23 cm$ 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 area $A$

To find area $A$ use formula:

A = \frac{a ^{2} 3}{2} + 3 a l

After substituting $a = 63 cm$ and $l = 23 cm$ we have:

A = \frac{6 3 cm ^{2} 3}{2} + 3 \cdot 63 cm \cdot 23 cm

A = \frac{108 cm ^{2} 3}{2} + 3 \cdot 1383 cm^{2}

A = \frac{108 3 cm ^{2}}{2} + 4143 cm^{2}

A = 543 cm^{2} + 4143 cm^{2}

A = 4683 cm^{2}

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Find the area A of a triangular prism if length l=23cm and height h=9cm.

4683​cm2

Find the area $A$ of a triangular prism if length $l = 23 cm$ and height $h = 9 cm$ .

$4683 cm^{2}$