Question

If the volume of the given prism is $684$ cubic centimeters, what will its length be ?

• A. $32cm$
• B. $30cm$
• C. $28cm$
• D. $35cm$

Answer 1

The correct option is B $30cm$

Base of the triangle, $b=9.5cm$
Height of the triangle, $h=4.8cm$
Therefore, area of the triangle $=\frac{1}{2}\times 9.5\times 4.8$
$=\frac{1}{2}\times 45.6=22.8sqcm$

Volume of the prism = area of the triangular base $\times$ length
$\Rightarrow 684=22.8\times$ length
$\Rightarrow \text{Length}=\frac{684}{22.8}=30cm$