Find the side $a$ of a triangular prism if length $l = 19 cm$ and volume $V = 4495.4 cm$ .

Answer

$13.1881$

Explanation

To find side $a$ use formula:

V = \frac{3 \cdot a ^{2} \cdot l}{4}

After substituting $V = 4495.4 cm$ and $l = 19 cm$ we have:

4495.4 cm = \frac{3 \cdot a ^{2} \cdot ( 19 cm ) ^{4}}{4}

4495.4 cm \cdot 4 = 3 \cdot a^{2} \cdot (19 cm)^{4}

17981.6 cm = 3 \cdot a^{2} \cdot (19 cm)^{4}

17981.6 cm = 193 cm \cdot a^{2}

a^{2} = \frac{17981.6 cm}{19 3 cm}

a^{2} \approx 173.9255

a \approx 173.9255

a \approx 13.1881

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Find the side a of a triangular prism if length l=19cm and volume V=4495.4cm.

13.1881

Find the side $a$ of a triangular prism if length $l = 19 cm$ and volume $V = 4495.4 cm$ .

$13.1881$