Question

The surface area of a square pyramid is 125 square feet. The base length is 5 feet. What is the slant height?

Answer 1

The answer is 10.31

Answer 2

Answer:

10.31 ft

Step-by-step explanation:

the base is 25 ft²

leaves 100 ft² for the 4 sides on top

so each triangle got 25ft²

the base length of the triangle is 5ft, bc it's the base length of the pyramid

so the height of the triangle is 10ft,

bc only then do we get a surface area of 25ft²

(b * h /2) for the triangle

now that we got base length and height,

let's look for the slant

we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.

leaving us with 10ft (height) and 2.5ft

slant² = 10² + 2.5²

slant² = 106.25

slant = sqrt(106.25)

slant = 10.31