Mathematics (Cubes and Cube Roots ঘন এবং ঘনমূল)

1) Three cubes each of sides 7 cm are joined end to end. Find the surface area of the resulting solid.

2) A solid metallic sphere of radius 4 cm is melted and recast into '4' identical cubes. What is the side of the
cube?

3) All the faces of a 5 cm side cube is coloured and cut into pieces of small 1-1 cm cubes. How many
cubes are there which have two planes coloured ?

4) The length, breadth andheight of a solid cuboid is 20 cm, 16 cm and 12 cm respectively. If cuboid is
melted to form identical cubes of side 4 cm, then what will be the number of identical cubes?

5) A cuboid is formed by stacking 5 cubes of side 3 cm. What is its volume?

6) Calculate the average of the cubes of first five natural numbers.

7) What is the cube root of 21952?

8) The length, breadth and height of a solid cuboid is 14 cm, 12 cm and 8 cm respectively. If cuboid is
melted to form identical cubes of side 2 cm, then what will be the number of identical cubes?

9) What is the cube root of 4096?

10) How many smaller cubes of side 2 cm can be formed from a cube with side 8 cm?