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

Answer:

Surface area of the smaller pyramid will be 225 cm²

Step-by-step explanation:

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

In other words,

$\frac{\text{One side of the smaller pyramid}}{\text{One side of the larger pyramid}}$ = $\frac{5}{7}$

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

$\frac{S_{\text{small}}}{S_{\text{large}}}=\frac{25}{49}$

$\frac{S_{\text{small}}}{441}=\frac{25}{49}$

$S_{\text{Small}}=\frac{441\times 25}{49}$

          = 225 cm²

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