SOLUTION: A square based pyramid has a volume of 1100 mm^3. It's height is 15 mm. Calculate the dimensions of the base of the pyramid.

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Question 1037224: A square based pyramid has a volume of 1100 mm^3. It's height is 15 mm. Calculate the dimensions of the base of the pyramid.
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
1100 = s^2*15 where s is the sides of the base (it's a square, so it has 4 equal sides)
1100/15 = s^2
73.333 = s^2 NOTE: 73.333 is the square of the side of the base, meaning that 73.333 is the area of the base.
Now take the square root, both sides:
s = 8.563 This is the length of each side
8.563*4 = 25 is the perimeter of the base.
John

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A square based pyramid has a volume of 1100 mm^3. It's height is 15 mm. Calculate the dimensions of the base of the pyramid.
Volume of a rectangular pyramid: %281%2F3%29Bh, where G is the AREA of the BASE, and h is the height
Since this is a square-based pyramid, and with S being a side of the base, the AREA of BASE, = S%5E2.
We then get: Volume = matrix%281%2C3%2C+%281%2F3%29S%5E2h%2C+or%2C+S%5E2h%2F3%29. Computed, a side of the square base is: highlight_green%28matrix%281%2C2%2C+14.83239697%2C+mm%29%29