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 Equation of water. Find the breadth of the tank, if its length and depth are respectively Equation and Equation

Solution:

We know that,

  • Length (l) Equation ,

  • Depth (b) = Equation

  • Volume (V)= Equation

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

Volume of cube Equation .

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

Solution:

  • Tank measures Equation

Therefore,

  • Equation

  • Equation

  • Equation

Capacity of the tank

  • Equation

  • Equation

  • Equation

Water requirement per person per day Equation liters

Water required per day for Equation

  • Equation

  • Equation ( Equation Equation )

  • Equation

Therefore number of days the water will last Equation

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

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

Solution:

  • Measure of godown Equation

  • Therefore, volume of the godown = Equation

  • Dimensions of each crate Equation

  • Volume of 1 crates = Equation

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

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