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Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube) Exercise 21.3 Question: 1 Find the volume of a cuboid whose (i) length = 12 cm, breadth = 8 cm, height = 6 cm (ii) length =1.2 m, breadth = 30 cm, height = 15 cm (iii) length = 15 cm, breadth = 2.5 dm, height = 8 cm. Solution: Question: 2 Find the volume of a cube whose side is (i) 4 cm (ii) 8 cm (iii) 1.5 dm (iv) 1.2 m (v) 25 mm Solution: Question: 3 Find the height of a cuboid of volume 100 cm3, whose length and breadth are 5 cm and 4 cm respectively. Solution: Question: 4 A cuboidal vessel is 10 cm long and 5 cm wide. How high it must be made to hold 300 cm3 of a liquid? Solution: Question: 5 A milk container is 8 cm long and 50 cm wide. What should be its height so that it can hold 4 litres of milk? Solution: Question: 6 A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height. Solution: Question: 7 What will happen to the volume of a cube, if its edge is (i) halved (ii) trebled? Solution: Question: 8 What will happen to the volume of a cuboid if its: (i) Length is doubled, height is same and breadth is halved? (ii) Length is doubled, height is doubled and breadth is same? Solution: Question: 9 Three cuboids of dimensions 5 cm × 6 cm × 7cm, 4cm × 7cm × 8 cm and 2 cm × 3 cm × 13 cm are melted and a cube is made. Find the side of cube. Solution:
Find the volume of a cuboid whose
(i) length = 12 cm, breadth = 8 cm, height = 6 cm
(ii) length =1.2 m, breadth = 30 cm, height = 15 cm
(iii) length = 15 cm, breadth = 2.5 dm, height = 8 cm.
Find the volume of a cube whose side is
(i) 4 cm
(ii) 8 cm
(iii) 1.5 dm
(iv) 1.2 m
(v) 25 mm
Find the height of a cuboid of volume 100 cm3, whose length and breadth are 5 cm and 4 cm respectively.
A cuboidal vessel is 10 cm long and 5 cm wide. How high it must be made to hold 300 cm3 of a liquid?
A milk container is 8 cm long and 50 cm wide. What should be its height so that it can hold 4 litres of milk?
A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.
What will happen to the volume of a cube, if its edge is
(i) halved
(ii) trebled?
What will happen to the volume of a cuboid if its:
(i) Length is doubled, height is same and breadth is halved?
(ii) Length is doubled, height is doubled and breadth is same?
Three cuboids of dimensions 5 cm × 6 cm × 7cm, 4cm × 7cm × 8 cm and 2 cm × 3 cm × 13 cm are melted and a cube is made. Find the side of cube.
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Mensuration II (Volumes and Surface Areas of a...