A box is 10 cm long, 6 cm wide, and 4 cm high. How many cubes of size 2 cm × 2 cm × 2 cm can fit inside the box?
30
Along the length, the number of cubes that fit is \(\frac{10}{2} = 5\).
Along the width, the number of cubes that fit is \(\frac{6}{2} = 3\).
Along the height, the number of cubes that fit is \(\frac{4}{2} = 2\).
The total number of cubes is \(5 \times 3 \times 2 = 30\).
Hence, 30 cubes can fit inside the box.
Similar Questions
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A solid cube of side 7 cm is melted and recast into identical solid spheres each of radius 1 cm. Determine the number of such spheres formed.
(Take π = 22/7)
Important Questions from Solid Figures
A cylindrical tube, open at both ends, is made of a metal sheet which is 0.5 cm thick. Its outer radius is 4 cm and length is 2 m. How much metal (in cm 3) has been used in making the tube?
The volume of a right circular cone is 308 cm 3 and the radius of its base is 7 cm. What is the curved surface area (in cm 2) of the cone? (Take π = \(\frac{22}{7} \) )
The slant height and radius of a right circular cone are in the ratio 29 ∶ 20. If its volume is 4838.4 π cm 3, then its radius is:
Six cubes, each of edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid in cm 2?
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:
