Find the lateral area $L A$ of a triangular prism if length $l = 9.95 cm$ and height $h = 6.1 cm$ .

Answer

$210.2536 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $h = 6.1 cm$ we have:

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

3 \cdot a = 6.1 cm \cdot 2

3 \cdot a = 12.2 cm

a = \frac{12.2 cm}{3}

a \approx 7.0437 cm

STEP 2: find lateral $A L$

To find lateral $A L$ use formula:

A L = 3 \cdot a \cdot l

After substituting $a = 7.0437 cm$ and $l = 9.95 cm$ we have:

A L = 21.131 cm \cdot 9.95 cm

A L = 210.2536 cm^{2}

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Find the lateral area LA of a triangular prism if length l=9.95cm and height h=6.1cm.

210.2536cm2

Find the lateral area $L A$ of a triangular prism if length $l = 9.95 cm$ and height $h = 6.1 cm$ .

$210.2536 cm^{2}$