How to Find the Volume of a Rectangular Prism

Read,5 minutes

The volume of Rectangular Prisms

A prism is a polyhedron with flat sides and bases of the same length. It is a solid object with flat sides, the same ends, and a cross-section that is the same length as the object. In Geometry, we will learn about the different prisms, such as a triangular prism, a pentagonal prism, and a hexagonal prism. Because it is a three-dimensional figure, it has both a surface area and a volume.

How much space does a prism take up?

The volume of a prism is the amount of space the three-dimensional object takes up as a whole. In math, it is equal to the product of the length and the area of the base. Therefore,

The volume of a prism $=$ Base Area $\times$ Length

A three-dimensional object's volume is expressed in cubic units, a measuring unit.

The volume of a rectangle-shaped prism

A rectangular prism has four straight sides and two square bases next to each other. We know that a rectangular prism is cut into a rectangle. The square-shaped prism is also called a "cuboid."

So, here is the formula for figuring out the volume of a rectangular prism:

A rectangular prism has a volume of $l \times b \times h$ cubed units. Where:

$l \ =$ Width of a rectangle's base
$b \ =$ length of the base of a rectangular prism
$h \ =$ the height of a rectangle

Example:

Find the volume of the rectangle-shaped prism shown below.

Rectangle_Prisms

Step 1: Figure out the rectangular prism's length $(l)$ , width $(w)$ , and height $(h)$ .
Most of the time, the vertical side of a rectangular prism is thought to be its height, so $h \ = \ 6$ cm. Length is usually believed to be the length of the remaining measurements, so we have $l \ = \ 5$ cm. and $w \ = \ 3$ cm.
Step 2: Use the formula $V \ = \ l \times w \times h$ to figure out the volume. Don't forget to put the units, units $^3$ .
To get the volume, we need to multiply the length, width, and height.
$V \ = \ 5 \times 3 \times 6 \ = \ 90$

The volume is $90$ cm $^3$ .

Free printable Worksheets

Exercises for Volume of Rectangle Prisms

1)
Rectangle_Prisms

2)
Rectangle_Prisms1

3)
Rectangle_Prisms2

4)
Rectangle_Prisms3

5)
Rectangle_Prisms4

6)
Rectangle_Prisms5

7)
Rectangle_Prisms6

8)
Rectangle_Prisms7

9)
Rectangle_Prisms8

10)
Rectangle_Prisms9

Answers

$\color{red}{48}$ m

$^3$

$\color{red}{6840}$ m

$^3$

$\color{red}{1859}$ mm

$^3$

$\color{red}{120}$ in

$^3$

$\color{red}{7980}$ in

$^3$

$\color{red}{2028}$ cm

$^3$

$\color{red}{3315}$ m

$^3$

$\color{red}{10080}$ m

$^3$

$\color{red}{280}$ m

$^3$

10)

$\color{red}{480}$ mm

$^3$

How to Find the Volume of a Rectangular Prism