SOLUTION: A square pyramid has a slant height of 25 m and a lateral area of 350m squared which is the closet volume 392 m cubed 1176 m cubed 404 m cubed 1225 m cubed

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Question 1141076: A square pyramid has a slant height of 25 m and a lateral area of 350m squared which is the closet volume
392 m cubed
1176 m cubed
404 m cubed
1225 m cubed
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The 350 square meters of lateral surface area is four congruent triangles, each with height 25m. If the side length of the square base is x, then

4%2A%2825x%2F2%29+=+350
x+=+7

The side length of the square base is 7m.

The volume of a pyramid is

V+=+%281%2F3%29Bh

where B is the area of the base and h is the height.

We know the area of the base is 49 square meters.

You can find the height using a right triangle with the height of the pyramid as one leg, half the diagonal of the square base (which you now know) as the other leg, and the given slant height as the hypotenuse.

You can finish the problem from there.

In my opinion the answer choices are not very good, as the actual volume is very nearly halfway between two of the choices.