![]() S = \dfrac = 12Ĭalculating the volume of a prism can be challenging, but with our prism volume calculator and formula, it's easy to find the volume of any prism. Here are some examples of finding the volume of a prism using the formula: Example 1įind the volume of a rectangular prism with a base of length 5 cm and width 8 cm, and a height of 10 cm.įind the volume of a triangular prism with a base of height 4 cm and base width 6 cm, and a height of 12 cm. Find the apothem of the triangular prism. Find the volume of a prism whose height is 10 cm, and the cross-section is an equilateral triangle of side length 12 cm. The calculator will automatically calculate the volume of the prism. By the formula of a triangular prism, volume abh.Enter the area of the base of the prism.Our prism volume calculator is designed to make it easy for you to find the volume of any prism. Where V is the volume, S is the area of the base, and h is the height of the prism. The formula for finding the volume of a prism is: Area of triangle 1 2 ×b×h 1 2 ×8×3 12 Area of triangle 1 2 × b × h 1 2 × 8 × 3 12. 2 Calculate the area of the cross section. Volume of prism Area of cross section × depth. Whether you are a student, a teacher, or someone who needs to work with prisms, our prism volume calculator can help you find the volume of any prism with ease. Work out the volume of the triangular prism: Write down the formula. Through the diameter the surface area of the base can be calculated and then to get the volume just multiply it by the cylinder's height.Calculating the volume of a prism is an essential skill in geometry. Our volume calculator requires that you insert the diameter of the base. In many school formulas the radius is given instead, but in real-world situations it is much easier to measure the diameter instead of trying to pinpoint the midpoint of the circular base so you can measure the radius. You need two measurements: the height of the cylinder and the diameter of its base. The volume formula for a cylinder is height x π x (diameter / 2) 2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius 2. To calculate the volume of a tank of a different shape, use our volume of a tank calculator. By designating one dimension as the rectangular prism's depth or height, the multiplication of the other two gives us the surface area which then needs to be multiplied by the depth / height to get the volume. They are usually easy to measure due to the regularity of the shape. To calculate the volume of a box or rectangular tank you need three dimensions: width, length, and height. To find the volume of a rectangular box use the formula height x width x length, as seen in the figure below: For this type of figure one barely needs a calculator to do the math. It is the same as multiplying the surface area of one side by the depth of the cube. The only required information is the side, then you take its cube and you have found the cube's volume. ![]() The volume formula for a cube is side 3, as seen in the figure below: air conditioning calculations), swimming pool management, and more. Volume calculations are useful in a lot of sciences, in construction work and planning, in cargo shipping, in climate control (e.g. ![]() The result is always in cubic units: cubic centimeters, cubic inches, cubic meters, cubic feet, cubic yards, etc. All measures need to be in the same unit. Below are volume formulas for the most common types of geometric bodies - all of which are supported by our online volume calculator above. Examples of volume formulae applicationsĭepending on the particular body, there is a different formula and different required information you need to calculate its volume.
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