Question

A square pryamid have a total surface area of 1,477,500ft² and need to find the slant length. The length is 750ft. Find the slant length.

A.) 610in
B.) 610ft
C.) 3,050ft
D.) 3,050in

Answer 1

To find the slant length of the pyramid, you can use the formula for the surface area of a square pyramid:

Surface area = base area + 4 * (base side length * slant height)

In this case, the surface area of the pyramid is 1,477,500ft², the base area is 750ft * 750ft = 562,500ft², and the base side length is 750ft. Substituting these values into the formula gives:

1,477,500ft² = 562,500ft² + 4 * (750ft * slant height)

Solving for slant height gives:

slant height = (1,477,500ft² - 562,500ft²) / (4 * 750ft)
= 915,000ft² / 3,000ft
= 305ft

So, the slant length is 305ft. The correct answer is therefore C) 3,050ft.
Easy