Q&A for How to Calculate the Volume of a Prism

Calculate the area of the base (length multiplied by width), then multiply by the height.

A rectangular prism would not have two different heights. If you're asking about a non-rectangular prism, the volume formula would involve finding the average height of some of the sides.

The volume of a cylinder is found by squaring the radius and then multiplying by the product of pi and the height of the cylinder. (V = πr²h.)

As with any right prism, you calculate the area of the base and then multiply by the height.

That's not possible, unless you're given some clue to figure out the height.

Multiply the height of the prism by the area of the hexagonal base. See the wikiHow article, Calculate the Area of a Hexagon .

Multiply the area of the base by the height.

The volume is one-third of the product of the length, width, and height. Put another way, it's the area of the base, multiplied by the height and divided by 3.

Multiply the area of the diamond by the height of the prism.

Multiply the area of the base by the height. To find the area, see [[Find the Area of Regular Polygons]].

Volume = (4/3)(πr³). Surface area = 4πr².

Because the formula for the area of a hexagon involves the square root of 3.

No. In all cases, you find the area of whichever surface you're designating the base and then multiply by the dimension perpendicular to the base (the "height.")

A square doesn't have a volume because it's a two-dimensional object. If you mean a cube, then it's the length multiplied by the width multiplied by the height (LxWxH).

Find the area of each base. Add the two areas together. Divide by 2. Multiply by the height. That's the volume.

Think of it as a box. However, boxes come in various shapes, so you have to be told the shape of the base (or cross-section) before you can know exactly what the prism looks like.

For a pyramid with a base consisting of a regular pentagon, the volume formula is V = (0.573)(L²)(h), where L is a side length of the base, and h is the pyramid's height. There is no formula available when the base pentagon is not regular.

First find the area of the parallelogram. See Find the Area of a Parallelogram . Then multiply that area by the height of the prism.

First you would have to know most or all of the dimensions and angles of the prism. Then you would subdivide the prism into smaller prisms whose dimensions are known, calculate the smaller volumes, and then add the smaller volumes together.

First find the area of the pentagonal base. (If it's a regular pentagon, see Find the Area of a Regular Pentagon .) Then multiply by the prism's height.

There is no easier method than the one shown above.

The formula for the apothem of a regular pentagon is a = s / 2 tan (36°), where a is the apothem, and s is the length of a side. So the length of the apothem equals the length of one side divided by twice the tangent of 36°. (That tangent is 0.727.)

Calculate the area of the triangular base, then multiply that by the height of the prism.

See Calculate the Volume of a Square Pyramid .

See Method 1 of How to Find the Surface Area of a Pyramid and Method 1 of How to Calculate the Volume of a Pyramid .

If you're asking about a prism with a triangular base, find the area of the triangle, then multiply by the height (length) of the prism.

Find the area of the parallelogram. Then multiply by the height of the prism.

First you must find the area of the arrow. Subdivide it into smaller, regular shapes (such as squares, rectangles and triangles). Calculate the areas of each smaller area, and add them together. Once you know the total area of the arrow, multiply it by the height of the prism. That gives you the prism's volume.

You have to find the area of the triangle. There are ways to do that without knowing the length of the triangle's base. See Calculate the Area of a Triangle .

The process is the same as with any other prism. You need the area of the pentagon. See Find the Area of a Regular Pentagon . If the pentagon is not regular, see Find the Area of a Shape .