SOLUTION: A square pyramid has a slant height of 25 m and a lateral area of 350^2 m. Which is the closest to the volume?

Question 1180777: A square pyramid has a slant height of 25 m and a lateral area of 350^2 m. Which is the closest to the volume?
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

No answer choices given....

The area of each of the four lateral faces is 350/4 = 175/2 square meters. With a slant height of 25m, the side length of the square base is 7m.

The foot of the altitude of the pyramid is in the center of the square base, 3.5m from each side of the base.

The height h of the pyramid can then be found as the length of the other leg of a right triangle with hypotenuse 25m and one leg 3.5m.

Then the volume of the pyramid is

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

A square pyramid has a slant height of 25 m and a lateral area of 350^2 m. Which is the closest to the volume?
given:

a slant height
The of lateral surface area is four congruent triangles, each with height . If the side length of the square base is , then

The side length of the square base is .

The volume of a square pyramid is:

RELATED QUESTIONS
A square pyramid has a slant height of 25 m and a lateral area of 350m squared which is... (answered by greenestamps)
A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 cu. m.... (answered by greenestamps)
The lateral surface area of a regular square pyramid is 240 m^2. If each side of its base (answered by ikleyn)
a square pyramid has a height of 1.5 inches, a slant height of 3.9 inches and a volume of (answered by ikleyn)
A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 m^3.... (answered by greenestamps)
A regular triangular pyramid with a slant height of 9m has a volume equal to 50 cubic... (answered by greenestamps)
find the slant height of a square pyramid with a base of 8cm if its lateral area is... (answered by ewatrrr)
A right pyramid has a square base and a lateral area of 144 in2. If the slant height is... (answered by Theo)
A square based pyramid has a base of 10 m and a slant of 12 m. What is the surface area... (answered by Cromlix)