NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.5 – Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Volume of Rectangle Box and Cylinder

Q-5 The capacity of a cuboidal tank is of water. Find the breadth of the tank, if its length and depth are respectively and

Solution:

We know that,

  • Length (l) ,
  • Depth (b) =
  • Volume (V) =

Since, . So, 1 liter = . Therefore, .

Volume of cube .

Q-6 A village, having a population of , requires liters of water per head per day. It has a tank measuring . For how many days will the water of this tank last?

Solution:

  • Tank measures

Therefore,

Capacity of the tank

Water requirement per person per day liters

Water required per day for

  • ()

Therefore number of days the water will last

Thus, the water in tank will last for 3 days.

Q-7 A godown measures . Find the maximum number of wooden crates each measuring that can be stored in the godown.

Solution:

  • Measure of godown
  • Therefore, volume of the godown =
  • Dimensions of each crate
  • Volume of 1 crates =
  • Assuming that the crates can fit perfectly in the godown, number of crates that can be stored = 10666.66