77.7k views
4 votes
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

1 Answer

6 votes
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
User Markus Strauss
by
8.4k points

Related questions

asked Nov 15, 2024 217k views
Rauly asked Nov 15, 2024
by Rauly
8.6k points
1 answer
4 votes
217k views
1 answer
5 votes
20.7k views
asked Feb 9, 2017 86.3k views
Riklund asked Feb 9, 2017
by Riklund
9.0k points
1 answer
3 votes
86.3k views