Question

Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. The surface area of the larger pyramid is 56 cm2.

What is the surface area of the smaller pyramid?

40.1 cm2
42.7 cm2
52.2 cm2
59.8 cm2

Answer 1

Given =

Two similar pyramid have base area of 12.2 cm² and 16 cm².

surface area of the larger pyramid = 56 cm²

find out the surface area of the smaller pyramid

To proof =

Let us assume that the surface area of the smaller pyramid be x.

as surface area of the larger pyramid is 56 cm²

Two similar pyramid have base area of 12.2 cm² and 16 cm².

by using ratio and proportion

we have

ratio of the base area of the pyramids : ratio of the surface area of the pyramids

$\frac{12.2}{16} : \frac{x}{56}$

$x = 12.2 ×56×\frac{1}{16}$

by solving the above terms

we get

x =42.7cm²

Hence the surface area of the smaller pyramid be 42.7cm²

Hence proved