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Question

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?

This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is

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.

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Similar Questions

  1. What is the volume of a cube with side length 4 cm?

  2. If the volume of a cube is 216 cm³, what is the length of each side of the cube ?

  3. A cuboid has a length of 5 cm, a breadth of 3 cm, and a height of 2 cm. What is its volume?

  4. 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

  1. A cone and a hemisphere have equal bases and volumes. What is the ratio of the height of the cone to the radius of the hemisphere?

  2. A metallic solid cuboid of dimensions 36 cm × 18 cm × 12 cm is melted and recast in the form of cubes of side 6 cm. Find the number of cubes so formed.

  3. A solid cylinder has a radius of 9 cm and a height of 25 cm. What is the ratio of its total surface area to its curved surface area?

  4. If the surface area of a sphere is 64 π cm 2, then the volume of the sphere is:

  5. Find the surface area of a sphere of diameter 21 cm. (Use π = \(\frac{{22}}{7}\) )

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