Surface Area and Volume of a Cube and Cuboid A cube and a cuboid are two-dimensional figures with 6 sides and 4 corners, respectively. Surface Ar...
Surface Area and Volume of a Cube and Cuboid
A cube and a cuboid are two-dimensional figures with 6 sides and 4 corners, respectively.
Surface Area:
The surface area of a shape is the total area of all its faces. For a cube and cuboid, the surface area consists of 6 equal faces. The surface area of a cube is given by the formula: 6s^2, where s is the side length of the cube. The surface area of a cuboid is given by the formula: 2(s1 + s2), where s1 and s2 are the lengths of the two equal sides of the cuboid.
Volume:
The volume of a shape is the amount of space it contains. For a cube and cuboid, the volume is equal to the volume of a cube. The volume of a cube is given by the formula: s^3, where s is the side length of the cube. The volume of a cuboid is given by the formula: (s1 + s2) x s x (s1 + s2) x s.
Examples:
A cube with a side length of 5 cm has a surface area of 75 cm^2.
A cuboid with sides of length 5 cm and 8 cm has a surface area of 36 cm^2.
The surface area of a cube with a side length of 6 cm is 72 cm^2.
The volume of a cube with a side length of 4 cm is 64 cm^3.
The volume of a cuboid with sides of length 3 cm, 4 cm, and 5 cm is 60 cm^3.