NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.5 – Part 2

Volume of rectangle box and cylinder

Volume of Rectangle Box and Cylinder

Volume of rectangle box and cylinder

Q-5 The capacity of a cuboidal tank is 50000liters of water. Find the breadth of the tank, if its length and depth are respectively 2.5m and 10m.


We know that,

  • Length (l) =2.5m ,

  • Depth (b) = 10m

  • Volume (V)= 50000liters

Since, 1000liters=1m3 . So, 1 liter = 11000m3 . Therefore, 50000liters=500001000m3=50m3 .

Volume of cube =l×b×h2.5×50×h=50h=50m3(2.5×10)m2=2m .

Q-6 A village, having a population of 4000 , requires 150 liters of water per head per day. It has a tank measuring 20m×15m×6m . For how many days will the water of this tank last?


  • Tank measures =20m×15m×6m


  • l=20m

  • b=15m

  • h=6m

Capacity of the tank

  • V=lbhm3

  • V=(20×15×6)m3

  • V=1800m3

Water requirement per person per day =150 liters

Water required per day for 4000

  • (4000×150)l

  • 4000×1501000m3 ( 1m3 =1000liters )

  • 600m3

Therefore number of days the water will last =CapacityoftankTotalwaterrequiredperday=(1800600)=3

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

Q-7 A godown measures 40m×25m×10m . Find the maximum number of wooden crates each measuring 1.5m×1.25m×0.5m that can be stored in the godown.


  • Measure of godown =40m×25m×15m

  • Therefore, volume of the godown = (40×25×10)m3=10000m3

  • Dimensions of each crate =1.5m×1.25m×0.5m

  • Volume of 1 crates = (1.5×1.25×0.5)m3=0.9375m3

  • Assuming that the crates can fit perfectly in the godown, number of crates that can be stored =VolumeofthegodownVolumeof1crate=100000.9375 = 10666.66

Explore Solutions for Mathematics

Sign In