jiloring.blogg.se - Volume of prism

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.

All the other versions may be calculated with our triangular prism calculator. The only option when you can't calculate triangular prism volume is to have a given triangle base and its height (do you know why? Think about it for a moment). Using law of sines, we can find the two sides of the triangular base:Īrea = (length * (a + a * (sin(angle1) / sin(angle1+angle2)) + a * (sin(angle2) / sin(angle1+angle2)))) + a * ((a * sin(angle1)) / sin(angle1 + angle2)) * sin(angle2) Triangular base: given two angles and a side between them (ASA) Using law of cosines, we can find the third triangle side:Īrea = length * (a + b + √( b² + a² - (2 * b * a * cos(angle)))) + a * b * sin(angle) Triangular base: given two sides and the angle between them (SAS) However, we don't always have the three sides given.

area = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area).

If you want to calculate the surface area of the solid, the most well-known formula is the one given three sides of the triangular base : You can calculate that using trigonometry: Length * Triangular base area given two angles and a side between them (ASA) You can calculate the area of a triangle easily from trigonometry: Length * Triangular base area given two sides and the angle between them (SAS) If you know the lengths of all sides, use the Heron's formula to find the area of the triangular base: Length * Triangular base area given three sides (SSS)

It's this well-known formula mentioned before: Length * Triangular base area given triangle base and height Our triangular prism calculator has all of them implemented. A general formula is volume = length * base_area the one parameter you always need to have given is the prism length, and there are four ways to calculate the base - triangle area. In the triangular prism calculator, you can easily find out the volume of that solid.