Find the area $A$ of a triangular prism if length $l = 12 cm$ and height $h = 6 cm$ .

Answer

$1683 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $h = 6 cm$ we have:

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

3 \cdot a = 6 cm \cdot 2

3 \cdot a = 12 cm

a = \frac{12 cm}{3}

a = 43 cm

STEP 2: find area $A$

To find area $A$ use formula:

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

After substituting $a = 43 cm$ and $l = 12 cm$ we have:

A = \frac{4 3 cm ^{2} 3}{2} + 3 \cdot 43 cm \cdot 12 cm

A = \frac{48 cm ^{2} 3}{2} + 3 \cdot 483 cm^{2}

A = \frac{48 3 cm ^{2}}{2} + 1443 cm^{2}

A = 243 cm^{2} + 1443 cm^{2}

A = 1683 cm^{2}

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Find the area A of a triangular prism if length l=12cm and height h=6cm.

1683​cm2

Find the area $A$ of a triangular prism if length $l = 12 cm$ and height $h = 6 cm$ .

$1683 cm^{2}$