Volume of Rectangular Prism

In layman’s terms, a thing’s volume is the quantity of space it occupies. In other words, volume is used as a measure of an object’s size in the same way that height and width are. If an item is hollow, its volume is the amount of water it can hold (empty).

A prism is a polyhedron made up of an n-sided polygon basis, a second base that is a translated duplicate of the first, and n extra faces that must all be parallelograms connecting matching sides of the two bases. Translations of the bases are all parallel cross-sections to the bases. To calculate the volume of a rectangular prism, multiply all three dimensions.

Volume = prism’s base area multiplied by its height

What is the Volume of a Rectangular Prism?

The volume of a rectangular prism is calculated by multiplying the prism’s length, width, and height. A rectangular prism is one with two parallel rectangular bases & four rectangular sides. The mathematical literature refers to this type of polyhedron as a Cuboid. It features six flat rectangular faces with right-angled angles. Rectangular prisms are also known as rectangular hexahedrons, rectangular parallelepipeds, and right rectangular prisms.

The formula to calculate the volume of any rectangular prism is length multiplied by height multiplied by the width of the base.

Common Unit Used for Volume of Rectangular Prism

Because cubic units (volume units) may be used to measure capacity, we can calculate the capacity of any given rectangular prism by multiplication of its length, width, & height. We may use the conversions below to convert cubic units to other capacity units such as liters or gallons.

• 1000 cubic centimeters Equals 1 liter
• 001 cubic meters Equals 1 liter

Let’s Calculate the Volume of a Rectangular Prism

Before using the method to calculate the volume of a rectangular prism, we must ensure that all of the dimensions are in the same units. The volume of a rectangular prism is calculated using the steps that have been given below.

• Step 1: Determine the kind of base and its area using an appropriate formula.
• Step 2: Determine the prism’s height, which is perpendicular to the top vertex to the prism’s base.
• Step 3: To calculate the volume of the rectangular prism in cubic units, multiply the base area by the prism’s height. Volume = prism’s base area multiplied by its height.

Surface Area of Rectangular Prism

The surface area of a rectangular prism can be described as the entire region or area covered by all of its faces. A three-dimensional form is a rectangular prism. It has a total of six faces, all of which are rectangular in shape. As a result, both bases of any given rectangular prism have to be rectangles. For example, we may compare the surface area of a rectangular prism to the surfaces of the following objects: a book, a cuboid-shaped aquarium, a box, and so on.

Solved Examples

Example 1: Given the rectangular prism’s base length, base width, and height of 9 cm, 4 cm, and 15 cm, respectively. Calculate the volume of a rectangular prism?

Solution: Given, b = 4 cm, l = 9 cm, and h = 15 cm.

The volume of a Rectangular Prism = l*b*h using the volume of a rectangular prism formula which we have already discussed above,

Volume = 4*9*15 = 540 cubic cm.

Example 2: Given the rectangular prism’s base length, base width, and height of 10 cm, 5 cm, and 20 cm, respectively. Calculate the volume of a rectangular prism?

Solution: Given, b = 5 cm, l = 10 cm, and h = 20 cm.

The volume of a Rectangular Prism = l*b*h using the volume of a rectangular prism formula which we have already discussed above,

Volume = 5*10*20 = 1000 cubic cm.

If you want to know more about rectangular prisms as well as the other types of prisms you can visit the Cuemath website.