The image above represents a cuboid.

To compute the volume of a cuboid requires three essential parameters which are the length, width and height of the cuboid.

The formula for computing the volume of a cuboid is:

V = lwh

Where:

V = Volume of the Cuboid

l = Length of the Cuboid

w = Width of the Cuboid

h = Height of the Cuboid

Let’s solve an example

Find the volume of a cuboid with a length of 6 cm, width of 2 cm and a height of 10 cm.

This implies that:

l = length of the cuboid = 6

w = width of the cuboid = 2

h= = height of the cuboid = 10

V = lwh

V = 6 x 2 x 10

V = 120

Therefore, the **volume of the cuboid** is **120 cm**^{3}.

**Calculating the Length of a cuboid when Volume, Width and Height are Given**

The formula is l = ^{V} / _{(w)(h)}

Where;

V = Volume of the Cuboid

l = Length of the Cuboid

w = Width of the Cuboid

h = Height of the Cuboid

Let’s solve an example:

Find the length of a cuboid with a volume of 440 cm^{3} , a width of 5 cm and a height of 11 cm.

This implies that;

V = Volume of the cuboid = 440 cm^{3}

w = width of the cuboid = 5 cm

h = height of the cuboid = 11 cm

l = ^{V} / _{(w)(h)}

l = ^{440} / _{(5)(11)}

l = ^{440} / _{55}

l = 8 cm

Therefore, the** length of the cuboid **is** 8 cm.**

**Calculating the Width of a cuboid when Volume, Length and Height are Given**

The formula is w = ^{V} / _{(l)(h)}

Where;

V = Volume of the Cuboid

l = Length of the Cuboid

w = Width of the Cuboid

h = Height of the Cuboid

Let’s solve an example:

Find the width of a cuboid with a volume of 180 cm^{3} , a length of 6 cm and a height of 10 cm

This implies that;

V = Volume of the cuboid = 180 cm^{3}

l = length of the cuboid = 6 cm

h = height of the cuboid = 10 cm

w = ^{V} / _{(l)(h)}

w = ^{180} / _{(6)(10)}

w = ^{180} / _{60}

w = 3 cm

Therefore, the** width of the cuboid **is** 3 cm.**

**Calculating the Height of a cuboid when Volume, Length and Width are Given**

The formula is h = ^{V} / _{(l)(w)}

Where;

V = Volume of the Cuboid

l = Length of the Cuboid

w = Width of the Cuboid

h = Height of the Cuboid

Let’s solve an example:

Find the height of a cuboid with a volume of 195 cm^{3} , a length of 5 cm and a width of 3 cm

This implies that;

V = Volume of the cuboid = 195 cm^{3}

l = length of the cuboid = 5 cm

w = width of the cuboid = 3 cm

h = ^{V} / _{(l)(w)}

h = ^{195} / _{(5)(3)}

h = ^{195} / _{15}

h = 13 cm

Therefore, the** height of the cuboid **is** 13 cm.**

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