# Questions on volume of cuboid

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
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
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 \$
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