NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.5 – Part 1
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Volumes of Common Solids
Formulas for volume of common solids
Q-1 A matchbox measures. What will be the volume of a packet containing such boxes?
Solution:
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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 =