# Understanding Volume

In these lessons, we will learn what is volume and how to calculate the volume of a rectangular prism. These lessons are suitable for grades 5 and 6.

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Volume as the amount of 3-dimensional space occupied by an object. Volume is measured in cubed units such as (mm3, cm3, m3 ).

A prism has 3-dimensions. It has a length, width and height. The height of the prism will indicate how many layers of cubes are in the prism.

First find the volume of one layer. For example in the prism below students would determine that the top layer is composed of four rows of five 1cm3 blocks. Therefore the volume of the top layer would be 20 cm3 ( 4 x 5 = 20).

Since there are 4 layers and each has a volume of 20 cm3, the total volume of the prism must be 80 cm3 (4 groups of 20 cm3).

The volume of a rectangular prism can be found by multiplying the length by the width by the height.

The general formula is V= l × w × h, where V = volume, l = length, w = width and h = height.

In this lesson you will learn how to determine the volume of a prism by analyzing layers and counting cubes.
Volume of Prism.

Estimate and Solve Volume.
Find the volume of a fractional rectangular prism using unit cubes.

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