Question

The two hexagonal pyramids are similar.

Answer 1

Answer: The approximate surface area of the larger pyramid is 159.31 ft².

Step-by-step explanation:

A pyramid is a solid,

And, When two solids are similar then the ratio of their surface area is the square of the scale factor of similarity.

Here, the scale factor of similarity

$=\frac{\text{Height of larger pyramid}}{\text{Height of smaller pyramid}}$

$=\frac{15}{6}$

Thus, by the above property,

$\frac{\text{ The surface area of larger pyramid}}{\text{The surface area of the smaller pyramid}}=(\frac{15}{6})^2$

It is given that, the smaller pyramid has a surface area of 25.49 ft²,

$\implies \frac{\text{ The surface area of larger pyramid}}{25.49}=\frac{225}{36}$

$\text{ The surface area of larger pyramid} = \frac{25.49\times 225}{36}$

$=\frac{5735.25}{36}$

$=159.3125\approx 159.31\text{ square ft}$

Answer 2

Answer:159.31

Step-by-step explanation: