Volume of a prism
V=Bh where B is the area of the base shape and h is height of the prism
The volume of a prism is defined as the amount of space enclosed by a three-dimensional object that has a uniform cross-section and parallel ends. The formula for calculating the volume of a prism is given as:
Volume = Base Area x Height
where the Base Area is the area of the cross-section of the prism and the Height is the perpendicular distance between the two parallel bases.
For example, consider a rectangular prism with a length of 7 cm, width of 4 cm and height of 5 cm.
To find the volume of this rectangular prism, we first need to find the base area. For a rectangle, the formula for area is:
Area = Length x Width
So, the base area of our rectangular prism is:
Base Area = 7 cm x 4 cm = 28 cm^2
Next, we use the formula for volume:
Volume = Base Area x Height
Volume = 28 cm^2 x 5 cm
Volume = 140 cm^3
Therefore, the volume of our rectangular prism is 140 cubic centimeters.
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