NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.5 – Part 1

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Formulas for volume of common solids

Volumes of Common Solids

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Q-1 A matchbox measures. What will be the volume of a packet containing such boxes?

Solution:

  • Each matchbox measures

  • Therefore, , and

Volume of one matchbox

Volume of a packet containing such boxes

Q-2 A cuboidal water tank is long, wide and deep. How many litres of water can it hold? ()

Solution:

  • Dimensions of water tank

Therefore Volume of the tank

Therefore, the tank can hold

  • [Note that, 1]

  • Liters of water.

Q-3 A cuboidal vessel is long and wide. How high must it be made to hold cubic metres of a liquid?Solution:

We know that,

  • Length ,

  • Breadth

  • Volume

Volume of cuboid

Therefore, Height =

Q-4 Find the cost of digging a cuboidal pit long, broad anddeep at the rate of

Solution:

We know,

Volume of the pit

Rate of digging is . Therefore, total cost of digging the pit =