The surface area of a regular pentagonal pyramid is 125 square yards. The base length is 5 yards. The area of the base is 37.5 s

Question

4 years ago

12

quare yards. What is the slant height of the pyramid?

1 answer:

forsale [732] · Answer 1 · 2022-03-05T04:24:00+03:00

Answer:

<h2>The Slant height of the pyramid is 7 yards.</h2>

Step-by-step explanation:

The total surface area is 125 square yards.

The base area is 37.5 square yards.

Hence, the area of the curved surface is 125 - 37.5 = 87.5 square yards.

According, to the formula, the area of the curved surface is $\frac{5}{2} \times bs$ , where b is the base length and s = slant height.

Here, it is given that b = 5 yards.

Thus, $\frac{5\times5\times s}{2} = 87.5\\s = 7$ .