There is an easy way to calculate package volume or answer exam questions. Volume is a measure of the size of a three-dimensional figure. So, the volume of the box is the result of measuring the area of the room in the box. To calculate it, there are a few things you need to measure and then multiply.
Step
Method 1 of 2: Calculating the Volume of a Rectangular Box
Step 1. Know that the formula for the volume of a rectangular box is “length” x “width” x “height”
To calculate the volume of a rectangular box, you must know the length, width, and height of the box. After that, multiply all these numbers to get the volume. This equation is usually abbreviated V = p x l x t.
- "Example: If a box is 10 cm long, 4 cm wide, and 5 cm high, what is the volume of this box?"
- V = p x l x t
- V = 10 cm x 4 cm x 5 cm
- V = 200 cm3
- The term "height" can be replaced with "depth". For example, “This box is 10 cm high, 4 cm wide, and 5 cm deep”.
Step 2. Measure the length of the box
The box seen from above will be rectangular. Length is the longest edge of the box. Write the number as “long”.
Use the same unit of measurement for each side. If you measure it in cm, all edges should be measured in cm
Step 3. Measure the width of the box after measuring the length
The width of the box is the edge that forms an angle with the length. If you look at the box from the other side, the width is the edge that forms the letter "L" in length. Write the result of this measurement as “width”.
The width of the box is always shorter than the length
Step 4. Measure the height of the box
This is the last rib you should measure. The height of the box is determined by measuring the distance between the top of the box and the base. Write the result of this measurement as “height”.
Depending on how you place the box, the ribs you call "height" or "length" may differ. However, you are free to specify which side you want to call “length” as long as all three edges have been measured
Step 5. Multiply the number of the three edges
Remember that the volume equation is V = length x width x height, so multiply all three. Include the units of the measured numbers so you don't forget what these numbers mean.
Step 6. Enter "unit3" behind the volume number.
Volume can be obtained by measuring, but if you don't know how to measure it, the numbers you get are useless. The correct way to calculate the volume is the same as calculating the volume of a "cube". For example, if all edges are in cm, the final result must also be “cm3”.
- "Example: What is the volume of a box that is 2 cm long, 1 cm wide, and 4 cm high?"
- V = p x l x t
- V = 2 cm x 1 cm x 4 cm
- Volume = 8 cm3
- "Note: the volume indicates how many cubes can fit into the box". In the example above, we can fit 8 cubes with edges 1 cm into the box.
Method 2 of 2: Calculating the Volumes of Various Squares
Step 1. Calculate the volume of the cylinder
A cylinder is a cylindrical shape with a circular top and base. Use this equation to calculate V = pi x r2 x t. The magnitude of fi = 3, 14, r is the radius of the circle, and t is the height of the cylinder.
To calculate the volume of a cone or pyramid with a circular base, use the above equation times 1/3. So, volume of cone = 1/3(fi x r2 xt).
Step 2. Calculate the volume of the pyramid
A pyramid has one side as a base and the other side points to a point. To calculate the volume, multiply the area of the base by the height of the pyramid and then multiply by 1/3. So, volume of the pyramid = 1/3(area of base x height).
There are also pyramids with a square or rectangular base. The area of the base is calculated by multiplying the length and the width of the base
Step 3. Add up the volumes of the parts of the more complex shapes
For example, to calculate the volume of an L-shaped box, more than three sides must be measured. If you divide this box into two smaller squares, calculate the volume of each box and then add them to get the total volume. With the example of an L-shaped box, we can see the vertical box as a rectangular box and the horizontal box as a cube.
