Find the base area $B$ of a triangular prism if length $l = 9.9 cm$ and height $h = 7.2 cm$ .

Answer

$29.9298 cm^{2}$

Explanation

STEP 1: find side $a$

To find side $a$ use formula:

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

After substituting $h = 7.2 cm$ we have:

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

3 \cdot a = 7.2 cm \cdot 2

3 \cdot a = 14.4 cm

a = \frac{14.4 cm}{3}

a \approx 8.3138 cm

STEP 2: find base area $B$

To find base area $B$ use formula:

B = \frac{3 \cdot a ^{2}}{4}

After substituting $a = 8.3138 cm$ we have:

B = \frac{3 \cdot ( 8.3138 cm ) ^{2}}{4}

B = \frac{3 \cdot 69.12 cm ^{2}}{4}

B = \frac{119.7194 cm ^{2}}{4}

B = 29.9298 cm^{2}

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Find the base area B of a triangular prism if length l=9.9cm and height h=7.2cm.

29.9298cm2

Find the base area $B$ of a triangular prism if length $l = 9.9 cm$ and height $h = 7.2 cm$ .

$29.9298 cm^{2}$