Solution: We know that, Volume of cuboid = l × b × h = 60 cm × 54 cm × 30 cm = 97200 cm³ Side of the cube = 6 cm Volume of the cube = side³ = 6³ = 216 cm³ Required number of cubes = volume of cuboid / volume of the cube = 97200 / 216 = 450 Thus, 450 cubes can be placed in the given cuboid. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 11 Video Solution: Maths NCERT Solutions Class 8 Chapter 11 Exercise 11.4 Question 4 Summary: A cuboid is of dimensions 60 cm × 54 cm × 30 cm. 450 small cubes with side 6 cm can be placed in the given cuboid. ☛ Related Questions: Math worksheets and
A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure it is clear that 8 such cubes will fit in it. So the volume of the box will be equal to the volume of 8 unit cubes together. Therefore, the volume of the cube = 8 cu cm Note that 8 = 2 × 2 × 2 Thus, volume of a cube = side × side × side = side3 Hence, a cube has: (i) six surfaces or faces,(ii) 8 vertices, (iii) 12 edges or sides of equal length. Since a cube has all sides equal.Volume of a cube = (side × side × side) cubic units.= 1 × 1 × 1 cubic unitsSince area = side × side Volume of a cube = (area × side) cubic units. Solved examples on volume of a cube: 1. Find the volume of cuboid by counting the number of cubes. Solution: Solution: The number of unit cubes are 6, its volume is 6 cu cm. 2. Find the volume of cuboid by counting the number of cubes. Solution: Solution: The number of cubes are 12, its volume is 12 cu cm. 3. Find the volume of a cube whose edge is 5 cm long. Solution: The length of an edge = 5 cm Volume of a cube = side of edge × side of edge × side of edge Volume of a cube = 5 cm × 5 cm × 5 cm = 125 cu cm = 125 cm3 4. Find the volume of a cube of side 7 cm. Solution:We know, volume of a cube = (side × side × side) cubic units. Here, side = 7 cm. = 7 × 7 × 7 = 343 Therefore, volume of a cube = 343 cubic cm. 5. Find the volume of a cube of side 13 cm. Solution: We know, volume of a cube = (side × side × side) cubic units. Here, side = 13 cm. = 13 × 13 × 13 = 2197 Therefore, volume of a cube = 2197 cubic cm. 6. Find the volume of water that can be contained in a cubical container each of whose edge measure 2 m internally. Solution: The internal length of an edge of the container = 2 m The internal volume of the container = 2 m × 2 m × 2 m = 8 cu m The volume of water that the container can hold = the internal volume of the container. Therefore, the required volume of water = 8 cu m. Questions and Answers on Cube: 1. Find the volume of cubes with each edge measuring: (i) 5 cm (ii) 10 m (iii) 1.1 cm (iv) 30 mm (v) 4.3 m Answers: (i) 125 cu cm (ii) 1000 cu m (iii) 1.331 cu cm (iv) 2700 mm (v) 79.507 cu m
● Volume. Units of Volume Cube. Cuboid. Practice Test on Volume. Worksheet on Volume. 5th Grade Geometry 5th Grade Math Problems From Volume of a Cube to HOME PAGE
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