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

Respuesta :

Answer:

The Slant height of the pyramid is 7 yards.

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 [tex]\frac{5}{2} \times bs[/tex], where b is the base length and s = slant height.

Here, it is given that b = 5 yards.

Thus, [tex]\frac{5\times5\times s}{2} = 87.5\\s = 7[/tex].

tydumas

Answer:

Sample Response: First, draw and label a net of the pyramid. The triangular faces have a base of 5 yards and a height of 12 yards. Find the area of each of the faces. The square base has an area of 25 yd2. Each of the triangular faces has an area of 30 yd2. Add the areas together to find the surface area: 25 + 30 + 30 + 30 + 30 = 145 yd2.

Step-by-step explanation:

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