Random articles

Piecewise Functions Addition and Subtraction Word Problems Calendar Math Time Math Synthetic Division Inequalities Distance Formula, MidpointVolume Introduction

With 3D shapes, volume and area are measurements that some people can confuse at times, but they are
different.

While area is the outer surface of a 3D shape, volume is the amount of space available inside the
shape.

Or another way of thinking about it, the amount of space a shape occupies.

Looking at the volume of a cuboid is a good example to get a solid understanding of volume.

A cuboid is a 3D shape that has a "WIDTH", "LENGTH" and "HEIGHT".

The "WIDTH" can sometimes be called the "BREADTH".

It's also possible to sometimes see the "HEIGHT" referred to as the "DEPTH" with a cuboid.

The volume of a cuboid can be found by multiplying all  3 of these values together, the
order doesn't matter.

Below is a cuboid made up of  27 smaller cuboids, each smaller cuboid is **1**cm in
Breadth, Width and Height.

The Length, Width and Height of the larger cuboid are all **3cm**.

Volume =

All units of measurement of each have to be the same. As they were in the example above, with the  Length, Width and  Height all being in  cm.

What is the volume of the following cuboid in meters?

First make sure each side is the same unit of measurement.

Just the height needs to be converted =>

Now:

Volume =

[ The volume of liquids in containers is usually measured in liters and milliliters(ml). ]

There are

Where

An orange juice carton has a Width of **7cm**, a Length of **6cm**, and a Height of **20cm**.

What is the volume in  ml of the juice carton?

Volume =

A Fish Tank has a  Length of **30cm**, a  Width of **140cm**, and a  Height
of **50cm**.

What is the volume in Liters of the Fish Tank?

Volume =

=

One bag of sand holds **9000cm**^{3} of sand.

How many bags of sand would be needed to fill the pit?

Making sure all measurements are in "cm".

Height:

Volume =

**200** bags of sand will be needed to fill the pit.

What is the height ** h** of a cuboid with volume

Where the  width is

The height of the cuboid is **8m**.