Question 325202: Can anyone help me with this word problem? I have a right square pyramid with the height of 148m and a square base with a perimeter of 940m and another right square pyramid with a square base with a perimeter of 140m and height of 260m, which has the greater volume and by how many times as great?
V- 1/3 bh, right? I have the perimeter so for each, I would multiply that by the height then divide by 3?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! right square pyramid with height of 148m and square base with p of 940m.
another right square pyramid with square base with p of 140m and height of 260m.
The volume for a right square pyramid is 1/3 the area of the base times the height.
That's the area of the base, not the perimeter of the base.
You are given the perimeter of the base.
You need to get the area of the base.
The side of a square base is equal to the perimeter of the square base divided by 4.
The area of a square base is equal to the side squared.
For your first pyramid, the perimeter is equal to 940m.
Divide that by 4 to get a side of 235.
Square that to get an area of 55225.
Multiply that by the height of the pyramid and divide it by 3 to get:
148 * 55225 / 3 = 2724433.333
The volume of your second pyramid is calculated as follows:
perimeter of the base is 140m.
Divide that by 4 to get 35.
Square that to get 1225.
Multiply that by 260 and divide it by 3 to get 106166.6667.
The first pyramid has a greater volume than the second pyramid.
Divide the volume of the first pyramid by the volume of the second pyramid to get 2724433.333 / 106166.6667. = 25.66185243
The volume of the first pyramid is 25.66185243 times as greater as the volume of the second pyramid.
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