Exercise 13.5 of class 9 NCERT math text book comprises 9 questions. This exercise focuses on volume of cubes and cuboids. Detailed explanation has been provided for all the questions. Video solution has been provided for questions 8 and 9.
The formula to compute the volume of cube is a^{3}; where 'a' is the edge of the cube.
The formula to compute the volume of cuboid is l × b × h; where l, b, and h are the length, breadth and height of the cuboid respectively.
Question 1
A matchbox measures 4 cm x 2.5 cm x 1.5 cm. What will be the volume of the packet containing 12 such boxes?
Question 2
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1m^{3} = 1000 l)
Question 3
A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
Question 4
Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs.30 per m^{3}.
Question 5
The capacity of the cuboidal tank is 50000 litres of water. Find the breadth of the tank if its length and depth are respectively 2.5 m and 10 m.
Question 6
A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m x 15 m x 6 m. For how many days will the water of this tank last?
Question 7
A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.
Question 8
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface ratios.
Question 9
A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?
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