Volume How to Calculate the Volume of a
- Slides: 7
Volume
How to Calculate the Volume of a Prism A prism is a 3 -D shape with rectangular sides. Steps Identify the base face. If there any non-rectangular faces, then those are the bases (the top & bottom). Identify the measurements of the base face. Calculate the area of the base face. Multiply by the height of the prism. The height (how long it is) of a prism is the distance between its two base faces. Label appropriately with mm 3, cm 3, m 3. . . Your label should match the original measurements' word, but have a power of 3 since volume is 3 -dimensional.
How to calculate the volume of a cylinder The formula: v = h π r 2 h = height (the distance between the circular ends) r = radius Measure the radius of the base circle. The radius is indicated in red on the image. Once you have your accurate measurement, write it down on a piece of paper. Measure the height of the cylinder. This line is indicated in blue on the image. The height is the distance from the two bases' edges. Multiply the height by pi then multiply by the square of the radius.
How to calculate the volume of a pyramid v = 1/3 x base area x h h = height (from base to apex) Square Pyramid Identify the length and width of the base. The lines to measure can be found on the image. Write your measurements down. Calculate the area of the base. This is done by multiplying the width by the length. Write the answer down. Multiply the area of the base by the height. The height is in blue on the image. Write this answer down, too. Multiply the previous answer by one third, or divide by 3. This will give you the final answer.
How to calculate the volume of a pyramid v = 1/3 x base area x h h = height (from base to apex) Triangular Pyramid Identify the length and width of the base. You MUST choose the two dimensions that are perpendicular to one another on the "bottom" triangle. In this example, the lines to measure can be found in red and green on the image. Write the measurements down. Calculate the area of the base. Multiply the length by the width, then multiply by one half (or divide by 2). This is the area. Write the answer down. Multiply the area of the base by the height of the pyramid. Multiply your answer by one third, or divide by 3. This will give you the volume
How to calculate the volume of a cone v = h x π x r 2 x 1/3 h = height of the cone r = radius of the circular base of the cone Measure the radius. Go to the base of the cone, which is a circle measure the radius (indicated in red on the image). Measure the height of the cone. This is done by measuring the line in blue on the image. Make sure it's accurate, and in the same units as the radius (millimetres, centimeters, etc. ). Multiply the height by pi, radius squared and 1/3
How to calculate the volume of a sphere v = (4/3) x π x r 3 r = radius of the sphere Measure the radius of the sphere. Measure the diameter of the sphere, and halve this. Or measure the circumference, divide this by pi (giving the diameter), divide this by 2 Cube the radius. This is basically multiplying the radius by itself three times, (r x r). Multiply the answer by pi. Multiply the previous answer by four thirds.
