Q&A for How to Calculate the Volume of a Pyramid

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  • Question
    How do I calculate the volume of a three square tier pyramid?
    Community Answer
    Determine the area of the base. If it is a rectangle, that's length x width, if it is a triangle it's 1/2 x the base (one side) x the height (a line perpendicular to the base to the opposite vertex). Determine the height of the pyramid. It is a line perpendicular (straight up) from the base of the pyramid to the opposite vertex. Muliply (1) x (2) and divide by 3. The formula is 1/3 x the area of the base x the height of the pyramid
  • Question
    How do I find the height if given the volume and the base length for a square pyramid?
    Donagan
    Top Answerer
    Triple the volume and divide that by the area of the base (which is the square of the length of an edge).
  • Question
    How do I double the volume of a square pyramid?
    Donagan
    Top Answerer
    Either double the height of the pyramid or double the area of the base. Accomplish the latter by multiplying the length of each side of the base by the square root of 2 (1.414).
  • Question
    How can I find the volume of a cone?
    Community Answer
    Cone volume equals pi times radius times height divided by three.
  • Question
    What if I have the pyramid's volume and height, but need to find the length and width?
    Donagan
    Top Answerer
    You could do that if the base is square, in which case you would triple the volume, then divide by the height and find the square root of the quotient, which would give you both the length and width of the square. If the base is not a square, you would have to know the length in order to find the width, or the width in order to find the length.
  • Question
    What is the volume is a pyramid with the base edge of 16 cm?
    Donagan
    Top Answerer
    Assuming the pyramid has a square base, find the area of the base by squaring the edge. Multiply the area by the height of the pyramid, then divide by 3. That's the volume.
  • Question
    How many digits does pi have?
    Donagan
    Top Answerer
    Actually, no one knows for sure. According to Wikipedia, pi can be expressed in "many trillions of digits."
  • Question
    How do I find the volume of a pyramid where the height is 10' and the area of base is 62'?
    Donagan
    Top Answerer
    Use the second formula given in the introduction of the above article.
  • Question
    How do I find the surface area of the pyramid?
    Donagan
    Top Answerer
  • Question
    How can I find the length and width of a rectangular based pyramid if I have the volume and height, but no length or width?
    Donagan
    Top Answerer
    With that information, all you can find is the area of the rectangular base, not the length or width.
  • Question
    How do I find the height of a pyramid when I know the length and width?
    Donagan
    Top Answerer
    You would also have to know the volume. If not, you can't find the height. h = 3V / lw. (Height equals three times the volume, divided by the product of the length and width.)
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