Question

How do I do this problem? Two similar pyramids have matching sides in the ratio 5:7. If the surface area of the larger pyramid is 441 cm^2. find the surface area of

the smaller pyramid.
S Area
cm²

Answer 1

Surface area of the smaller pyramid will be 225 cm²

Explanation:

Two similar pyramids have their matching or corresponding sides in the ratio of 5 : 7.

In other words,

`\frac{\text{One side of the smaller pyramid}}{\text{One side of the larger pyramid}}` =
`(5)/(7)`

Therefore,
`\frac{\text{Surface area of the smaller pyramid}}{\text{Surface area of the larger pyramid}}` =
`((5)/(7))^(2)`

`\frac{S_{\text{small}}}{S_{\text{large}}}=(25)/(49)`

`\frac{S_{\text{small}}}{441}=(25)/(49)`

`S_{\text{Small}}=(441* 25)/(49)`

= 225 cm²

Therefore, surface area of the smaller pyramid will be 225 cm².