Question

If the volume of this prism is $684$ cm${}^3$, what will be its length?

• A. $35cm$
• B. $30cm$
• C. $32cm$

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 $=\frac{1}{2}\times 9.5\times 4.8$
$=\frac{1}{2}\times 45.6=22.8c{m}^2$

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

Option (b.) is correct.