Question

Four people decide to beat the World record of voluminous snow prism. They created the following prism of height 30 m having parallelogram base of side 8 m and height 12 m. What is the volume of the snow prism?

• A. 2560 m${}^3$
• B. 2780 m${}^3$
• C. 2780 m${}^3$
• D. 2880 m${}^3$

Answer 1

The correct option is D 2880 m${}^3$

Voluminous snow prism



Cross-section of the base parallelogram


Height = 12 m
Base = 8 m

Area of the parallelogram base = base $\times$ height
$\therefore$ Area of the parallelogram base = 12 m $\times$ 8 m
$=96$m${}^2$



Volume of Prism = Area of Parallelogram base $\times$ height
$\therefore$ Volume of Snow Prism = 96 m${}^2$ $\times 30$
= 2880 m${}^3$

$\therefore$Volume of the Snow prism = 2880m${}^3$