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

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  • Question
    If the volume of a cube is 512 cubic meters, what are its side measurements?
    Donagan
    Top Answerer
    The side length is the cube root of the volume.
  • Question
    A cube-shaped structure has sides 3 feet long. If I plan to fill it with gravel to a depth of 2.5 feet, how much gravel will I need?
    Donagan
    Top Answerer
    Multiply the area of the bottom of the cube by 2.5.
  • Question
    If the length is 2 meters, the height is 1 meter and the width is 2 meters of a water tank, how many gallons of water will the cube contain?
    Community Answer
    First, you need to find the volume of the tank. This can be found by multiplying the length, height, and width altogether. When you do that, you get 4 cubic meters. Doing some research, you will find that 1 cubic meter is approximately equal to about 220 imperial gallons or 264.2 US liquid gallons. If you use the imperial gallons, then the tank would hold a little less than 880 imperial gallons. But if you use the US liquid gallons, it would hold slightly less than 1,057 gallons.
  • Question
    How do you find the volume of a cube if you are given that a circle with a diameter of 14 fits in it?
    Community Answer
    Good question. Assume that the circle fits perfectly into the cube. So that means the inside edges touch. You know that the circle had a diameter of 14. So if it fits perfectly into the cube, the cube would also have a side length of 14. So the volume could be easily calculated: 14 cubed, which is 2744.
  • Question
    Can you find the capacity of a tank with dimensions 8cm x 6cm x 2.5cm?
    Community Answer
    Well, that isn't exactly a cube but the formula is similar. You just need to multiply the length, width, and height altogether. 8 x 6 x 2.5 is 120. And there you have it. 120cm cubed. It's cubed because the units are little cubes.
  • Question
    If the perimeter of a face of a cube is 16 mm, what is its volume?
    Donagan
    Top Answerer
    Divide the perimeter by 4. That gives you the length of one edge. Cube it. That's the volume.
  • Question
    How do I find the number of cubical boxes of side 3 cm which can be accommodated in a carton of dimensions 15 cm * 9 cm * 12 cm?
    Donagan
    Top Answerer
    3 cm will fit into the 15 cm dimension five times; it will fit into the 9 cm dimension three times; and it will fit into the 12 cm dimension four times. 5 x 3 x 4 = 60 cubical boxes.
  • Question
    If the volume of a cube is 1728, then what is its surface area?
    Community Answer
    We know that to find the volume of a cube, we cube one of its sides. So if we want to inverse or reverse that operation, we take the cube root of 1728. It happens that the cube root is 12. So we now know that the length of one side is 12. If the length of one side of the cube is 12, then the area of one face would be 144. A cube has 6 faces, so we need to multiply 144 by 6 which is 864.
  • Question
    How do I find the number of blocks in a layer of a cube?
    Donagan
    Top Answerer
    It depends on the size of the blocks.
  • Question
    How do I find the cube root?
    Donagan
    Top Answerer
  • Question
    How do I make sure the volume is correct?
    Donagan
    Top Answerer
    Find the cube root of the volume. That should equal the length of an edge.
  • Question
    What if I need to find it in cubic centimeters?
    Donagan
    Top Answerer
    It doesn't matter what unit of measurement you use. Volume equals the cube of the side length.
  • Question
    How do I calculate the sides from volume?
    Donagan
    Top Answerer
    If you're asking about the length of an edge, it's the cube root of the volume. If you're asking about the area of a side, it's the square of the length of an edge.
  • Question
    How do I calculate the volume of a classroom?
    Donagan
    Top Answerer
    Multiply length by width by height.
  • Question
    I have a rectangle whose area is 60 square meters, and the diagonal of the rectangle is 8 meters longer than its shorter side. How do I find its dimensions?
    Donagan
    Top Answerer
    This is an algebra problem involving the simultaneous solution of two equations in two unknowns. The unknowns are the length (l) and width (w) of the rectangle. The product of the length and width (lw) is equal to the area (60). Express one dimension in terms of the other dimension: for instance, l = 60/w. Then use the Pythagorean theorem to find w by using (w + 8) to represent the diagonal (hypotenuse), (60/w) to represent the length, and, of course, (w) to represent the width.
  • Question
    A cuboid is of dimensions 60 cm, 54 cm, and 30 cm. How many small cubes with 6 cm sides can be placed in the cuboid?
    Donagan
    Top Answerer
    Divide each dimension by 6 cm: 10, 9, and 5. Multiply those numbers to get 450 cubes.
  • Question
    What is the volume of a cube in cubic inches if the length of a side is 1/5 inch?
    Donagan
    Top Answerer
    (1/5)³ = (1/5)(1/5)(1/5) = 1/125 cubic inch.
  • Question
    If the length of each side of the cube is 20 cm, then what is the total area?
    Donagan
    Top Answerer
    Each side has an area of (20)(20) = 400 square centimeters. The total surface area is (6)(400) = 2400 square centimeters.
  • Question
    A cube has a volume of 64 cubic meters. What are the length, width and height of the cube?
    I_l1ke_gam3s
    Community Answer
    If the cube's volume is 64, the length, width and height are all the cube root of 64. The cube root of 64 is 4. The length, width, and height are 4 meters.
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