Question

Calculate the volume of the pyramid shown below.

• A. 144 cu. ft
• B. 156 cu. ft
• C. 172 cu. ft
• D. 188 cu. ft

Answer 1

The correct option is A 144 cu. ft

We know,
Volume of the pyramid is one third of the product of area of its rectangular base and height.
i.e,
$\text{Volume of pyramid =}\frac{1}{3}\times \text{area of base}\times \text{height}$

Since the base of the pyramid is rectangular,
Area of rectangular base = length x width
$=6\times 8$
$=48sq.ft$

Height = 9 ft

$\therefore \text{Volume of pyramid =}\frac{1}{3}\times 48\times 9$
$=144cu.ft$