How to find the volume and surface area of cube and cuboid and other shapes too?!
There are standard formula for common objects. Thus for a cube of sides a the volume is a^3 and the surface area is 6a^2.
To find the volume and surface area of various shapes, including cubes and cuboids, you can use specific formulas. Here's how to calculate them:
1. Cube:
- Volume: The volume of a cube is given by the formula V = s^3, where s represents the length of one side of the cube.
- Surface Area: The surface area of a cube is given by the formula SA = 6s^2, where s represents the length of one side of the cube.
2. Cuboid:
- Volume: The volume of a cuboid is calculated by multiplying the length (l), width (w), and height (h) of the cuboid. The formula is V = lwh.
- Surface Area: The surface area of a cuboid can be found using the formula SA = 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the cuboid, respectively.
For other shapes, you'll need specific formulas. Here are a few examples:
3. Sphere:
- Volume: The volume of a sphere is given by the formula V = (4/3)πr^3, where r represents the radius of the sphere.
- Surface Area: The surface area of a sphere is calculated using the formula SA = 4πr^2, where r represents the radius.
4. Cylinder:
- Volume: The volume of a cylinder can be found using the formula V = πr^2h, where r represents the radius of the base and h is the height of the cylinder.
- Surface Area: The surface area of a cylinder can be calculated using the formula SA = 2πr(r + h), where r represents the radius of the base and h is the height of the cylinder.
These are just a few examples, and there are formulas available for various shapes. By knowing the specific shape and its dimensions, you can use these formulas to find the volume and surface area.