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,
[tex]\frac{\text{One side of the smaller pyramid}}{\text{One side of the larger pyramid}}[/tex] = [tex]\frac{5}{7}[/tex]
Therefore, [tex]\frac{\text{Surface area of the smaller pyramid}}{\text{Surface area of the larger pyramid}}[/tex] = [tex](\frac{5}{7})^{2}[/tex]
[tex]\frac{S_{\text{small}}}{S_{\text{large}}}=\frac{25}{49}[/tex]
[tex]\frac{S_{\text{small}}}{441}=\frac{25}{49}[/tex]
[tex]S_{\text{Small}}=\frac{441\times 25}{49}[/tex]
= 225 cm²
Therefore, surface area of the smaller pyramid will be 225 cm².
