Question

The length, breadth and height of a chocolate box are in the ratio 5:4:3. If its volume is 7500 cm, then find its dimensions.​

Answer 1

• The length of a chocolate box = 25 m.

• The breadth of a chocolate box = 20 m. • The height of a chocolate box = 15 m.

Given:

• The ratio of the length, the breadth and the height of a chocolate box = 5:4:3. • The volume of a chocolate box = 7500 cm³.

To Find:

• The dimensions of a chocolate box.

Solution :

Let,

The length of a chocolate box be 5x.

The breadth of a chocolate box be 4x.

The height of a chocolate box be 3x.

First, we need to find the value of x.

Given,

Volume of a chocolate box = 7500 cm³

We know that,

Volume of a chocolate box = length x breadth x

That means,

length x breadth x height = 7500 cm³

The height of a chocolate box = 3x = 3 x 5 cm = 15 cm.

Hence,

The dimensions of a chocolate box are 25 cm, 20 cm

and 15 cm.Hence, the value of x is 5 cm.

So, the dimensions of a chocolate box are :

The length of a chocolate box = 5x = 5 x 5 cm = 25 cm.

The breadth of a chocolate box = 4x = 4 x 5 cm = 20 cm.