Question

The base in a right prism is an equilateral triangle of side 8 cm and the height of the prism is 10 cm. The volume of the prism is

(a) 150√3 cubic cm 

(b) 300√3 cubic cm 

(c) 320√3 cubic cm 

(d) 160√3 cubic cm

Answer 1

(d) 160√3 cubic cm

Volume of a prism = Base Area × Height

= \(\bigg(\frac{\sqrt3}{4}\times(8)^2\times10\bigg)\) cm³

= \(\bigg(\frac{\sqrt3}{4}\times64\times10\bigg)\) cm³

= 160√3 cm³