# VOLUME WITH FRACTIONAL EDGE LENGTHS

Volume with Fractional Edge Lengths :

In this section, you will learn, how to find volume of a cube or cuboid with fractional edge lengths.

Fractional Edge Length :

Fractional edge length is the length of each edge of the cube or cuboid is a fraction.

## Volume of a Cuboid - Formula

The formula to find volume of the above cuboid is

=  Base Area  Height

or

=  l  w  h

## Volume of a Cube - Formula

The formula to find volume of the above cube is

=  Base Area  Height

or

=  a  a  a

=  a³

## Volume with Fractional Edge Lengths - Practice problems

Problem 1 :

Find the volume of the cube given below.

Solution :

Formula to find volume of the above cube is given below.

Volume of the cube  =  a³

Plug a  =  3 1/2

Volume of cube  =  (3 1/2)³

Volume of cube  =  (7/2)³

Volume of cube  =  (7/2)  (7/2)  (7/2)

Volume of cube  =  343 / 8

Volume of cube  =  42 7/8 cubic inches

Problem 2 :

Find the volume of the cuboid given below.

Solution :

Formula to find volume of the above cuboid is given below.

Volume of the cuboid  =  l ⋅  h

Substitute,  l  =  7 1/2 ft, w  =  4 1/2 ft and h  =  2 1/2 ft

Volume of cuboid  =  (7 1/2)  (4 1/2)  (2 1/2)

Volume of cuboid  =  (15/2)  (9/2)  (5/2)

Volume of cuboid  =  675 / 8

Volume of cube  =  84 3/8 cubic ft.

Problem 3 :

Find the volume of the cuboid given below.

Solution :

Formula to find volume of the above cuboid is given below.

Volume of the cuboid  =  l  w  h

Substitute,  l  =  3.7 cm, w  =  4.1 cm and h  =  10 cm

Volume of cuboid  =  3.7  4.1  10

Volume of cuboid  =  151.7 cubic cm

After having gone through the stuff given above, we hope that the students would have understood, how to find volume of a cube or cuboid with fractional edge lengths.

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