Question

Nidhi constructed a square pyramid of base edge 10cm and height 6cm. Rahul made a square pyramid of base edge 5cm and height 24cm. What is the ratio of the volumes of the pyramids constructed by Nidhi and Rahul?

• A. 1:1
• B. 1:2
• C. 2:1
• D. 1:4

Answer 1

The correct option is A

1:1

The volume of a square pyramid of base edge 'l' cm and height 'h' cm = $\frac{1}{3}\times l^2\times h$
Given,
the base edge of Nidhi's pyramid = 10 cm
the height of Nidhi's pyramid = 6 cm
Thus, the volume of Nidhi's pyramid = $\frac{1}{3}\times {10}^2\times 6$
the base edge of Rahul's pyramid = 5 cm
the height of Rahul's pyramid = 24 cm
Thus, the volume of Rahul's pyramid = $\frac{1}{3}\times 5^2\times 24$
$⟹Ratioofthevolumes=\frac{\frac{1}{3}\times {10}^2\times 6}{\frac{1}{3}\times 5^2\times 24}=1:1$