In this chapter we will discuss questions related to volume of cuboid with solutions.

The volume of cuboid is calculated using following formula;

**Volume = Length x Breadth x Height**

You need to memorize the formula to solve related questions.

## Volume of cuboid – Solved examples

**Question 01**

Find the volume of cuboid of length 50 cm, breadth 70 cm and height 1 meter.

**Solution**

Length = 50 cm

Breadth = 70 cm

Height = 1 meter = 100 cm

Note that while using the volume formula, all the dimensions should be in same units. Here the dimensions are in centimeter.

Volume = Length x Breadth x Height

Volume = 50 x 70 x 100

Volume = 3500 cubic cm

Hence, the volume of cuboid is 3500 cubic centimeter.

**Question 02**

Four cubes of length 10 cm are placed adjacently to each other to form cuboid. Find the volume of new cuboid formed.

**Solution**

The dimensions of new cuboid formed are;

Length = 10 x 4 = 40 cm

Breadth = 10 cm

Height = 10 cm

Volume of cuboid = Length x Breadth x Height

Volume = 40 x 10 x 10 = 4000 cubic cm

Hence, the volume of new figure is 4000 cu. cm

**Question 03**

Rashid built a cuboid tank of length 2 meter, breadth 1 meter and height 4 meter to store gasoline oil. If the price of gasoline is 2$ per liter calculate the total value of gasoline that cant be stored in the tank.

**Solution**

Calculating the volume of cuboid tank.

Volume = length x breadth x height

Volume = 2 x 1 x 4 = 8 cu. meter

Hence, 8 cubic meter of gasoline can be stored in the tank.

Now, let’s calculate the value of stored gasoline.

1 Liter ⟹ 2 $

0.001 cu m ⟹ 2$

8 cu m ⟹ (2/0.001) x 8 = 16000 $

Hence, 16000$ amount of gasoline stored in the tank.

**Question 04**

A vessel is in the form of cuboid of length 6 meter and width 15 meter. Calculate the height of cuboid so that it can hold 810 cu meter of water.

**Solution**

The volume of cuboid = volume of water stored

L x B x H = 810

6 x 15 x H = 810

H = 810 / 90

H = 9 meter

Hence, the height of the vessel is 9 meter.

**Question 05**

Tessa wants to dig a pit in the form of cuboid of length 3 meter, breadth 6 meter and height 2 meter at the back of her house. If the cost of digging is $3 per cu. meter, find the total cost incurred by Tessa.

**Solution**

Total volume of soil excavated = volume of cuboid.

Volume of cuboid = 3 x 6 x 2 = 36 cu. meter

Hence, 36 cu meter of soil is taken out from the backyards.

1 cu meter ⟹ $ 3

36 cu meter ⟹ 3 x 36 = $ 108

Hence, there will be a total cost of 108 $