What is the volume of a cube with side length 4 cm?
64 cm³
The volume of a cube with side length \(a\) is given by \(V = a^3\).
Substituting \(a = 4\) cm gives \(V = 4^3 = 64\) cm³.
Hence, the volume of the cube is 64 cm³.
A cuboid has a length of 5 cm, a breadth of 3 cm, and a height of 2 cm. What is its volume?
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?
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)
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: