Find the slant height of the pyramid.
Remember, the 6 ft distance stretches across the entire base. Look at the picture and decide what distance you need.
4 feet in height, and 6 feet in length and width.
To find the slant height of the pyramid, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height of the pyramid and half the length of the base.
First, let's find half the length of the base:
Half of the length of the base = 6 ft / 2 = 3 ft
Now, let's find the slant height using the Pythagorean theorem:
Slant height^2 = height^2 + (half the length of the base)^2
Slant height^2 = 4 ft^2 + 3 ft^2
Slant height^2 = 16 ft^2 + 9 ft^2
Slant height^2 = 25 ft^2
Taking the square root of both sides, we get:
Slant height = √(25 ft^2)
Slant height = 5 ft
Therefore, the slant height of the pyramid is 5 feet.