Question

Calculate the volume. *2 pointsCaptionless ImageA) 67.94 in^3B) 22.64 in^3C) 33.97 in^3D) 11.32 in^3

Answer 1

Solution

The figure is a rectangular based pyramid

$Volume,\text{ V of a pyramid =}\frac{1}{3}\text{ x base area x height}$

The height of the pyramid = 7.9in

Area of the rectangular base = Length x breadth = 4.3in x 2in = 8.6in^2

$\begin{gathered} Volume,\text{ V of the pyramid =}\frac{1}{3}\text{ x 8.6 x 7.9 = 22.647in}^3 \\ =22.65in^3(to\text{ 2 decimal places\rparen} \end{gathered}$

The second option is the closest to the answer, thus, the correct option