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• Method 1 of 2: Calculate the volume of a rectangular box
• Method 2 of 2: Calculating the volume of boxes in other shapes

Whether you need to send a package to do a math test, finding the volume of a box is very easy. Volume is a measure of the size of a three-dimensional object, and thus how much space there is on the inside of a box. To find the volume, measure the length, width and height and then multiply them.

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Method 1 of 2: Calculate the volume of a rectangular box

1. The volume of a rectangular box is length X width X height. If your box is a rectangular prism or cube, all you need is the length, width and height. You can then multiply it to calculate the volume. This formula is often abbreviated to, "V = l x w x h.’
   • Sample question: "I have a box with length 10 cm, width 4 cm and height 5 cm; what is the volume of the box? "
   • V = l x w x h
   • V = 10 cm x 4 cm x 5 cm
   • V = 200 cm
   • "Height" can be replaced by "depth".For example, "The box has a length of 10 cm, a width of 4 cm and is 5 cm deep.’
2. Measure the length of the box. Seen from above, the box looks like a rectangle. Write this number as "height".
   • Make sure to use the same unit for each side - if you measure one side of the box in centimeters, then you must measure the rest in centimeters as well.
3. Measure the width of the box. The width of the box is the short side of the rectangle. If you look at the box from above, the width is the side that forms an "L" with the length. Write this as the "width".
   • The width is always shorter than the length.
4. Measure the height of the box. This is the last side of the box to measure, and it is the distance from the top of the box to the ground. Record this reading as the "height".
   • Depending on how the box is arranged, the "height" or "length" can mean different things. However, it does not matter which side you call the length, but that you measure 3 different sides.
5. Multiply the three sides together. In case you forgot - the equation for volume is V = length x width x height, so you multiply all three sides together to get the volume. Include the units, so you don't forget what the numbers mean.
6. After the result, place "unity". Volume is a measure, but if you don't know which unit belongs to it, it is meaningless. The correct way to write a volume is in cubic units. For example, if you measured the sides in centimeters, the final answer is in "cm". For instance.
   • Sample question: "If you have a box with a length of 20 cm, a width of 10 cm and a height of 4 cm, what is the volume of the box?"
   • V = l x w x h
   • V = 20 cm x 10 cm x 4 cm
   • Volume = 800 cm
   • Note: " This is because volume is a measure of the number of small cubes you can fit into the box. In the previous example, this means that 800 individual boxes of 1 cm fit in the box.

Method 2 of 2: Calculating the volume of boxes in other shapes

1. Determine the volume of cylinders. Cylinders are tubes, the top and bottom of which are circles. You determine the volume of a cylinder with the equation V = pi x r x h. Pi = 3.14, r is the radius of the top circle, and h is the height.
   • To determine the volume of a cone, use the same equation times 1/3. So as follows: V = 1/3 (pi x r x h)
2. Determine the volume of a pyramid. Pyramids have a base, or base, and sloping faces that meet at a point. To find the volume of a pyramid, multiply the area of ​​the base by its height, then multiply by 1/3. So the equation is: V = 1/3 (base x height).
   • Most pyramids have a square or rectangular base. You can find its area by multiplying the length of the base by the width.
3. Add up the volume of the parts to find the volume of complicated shapes. For example: To find the volume of an "L" -shaped box, you need to measure more than three sides. However, if you consider the box as two smaller boxes, you can determine the volume of each smaller box and add that to the final volume. With our "L" -shaped box, for example, we can think of the vertical line as a rectangular box and the bottom horizontal line as a square box.
   • While it can get a little complicated, there are several ways to calculate the volume of any shape.