When figuring out the volume of different 3D shapes, it's important to have a clear way to do it. Let’s look at how to find the volume for some common shapes step by step.
A cube has all sides that are the same length.
To find the volume, use this formula:
Volume (V) = side length (a) × side length (a) × side length (a) = a³
For example, if one side of the cube is 3 cm long, then:
V = 3 × 3 × 3 = 27 cubic centimeters (cm³)
A rectangular prism is like a box, which can have different lengths, widths, and heights.
To find its volume, use this formula:
V = length (l) × width (w) × height (h)
If a box is 4 cm long, 3 cm wide, and 2 cm high, then:
V = 4 × 3 × 2 = 24 cm³
A cylinder looks like a can and needs two measurements: the radius (the distance from the center to the edge) and the height.
To find the volume, use this formula:
V = π × radius (r)² × height (h)
If a cylinder has a radius of 2 cm and a height of 5 cm, then:
V = π × (2 × 2) × 5 = 20π
This is about 62.83 cm³ when you calculate it.
By using these simple methods, you can easily find the volume of different shapes!
When figuring out the volume of different 3D shapes, it's important to have a clear way to do it. Let’s look at how to find the volume for some common shapes step by step.
A cube has all sides that are the same length.
To find the volume, use this formula:
Volume (V) = side length (a) × side length (a) × side length (a) = a³
For example, if one side of the cube is 3 cm long, then:
V = 3 × 3 × 3 = 27 cubic centimeters (cm³)
A rectangular prism is like a box, which can have different lengths, widths, and heights.
To find its volume, use this formula:
V = length (l) × width (w) × height (h)
If a box is 4 cm long, 3 cm wide, and 2 cm high, then:
V = 4 × 3 × 2 = 24 cm³
A cylinder looks like a can and needs two measurements: the radius (the distance from the center to the edge) and the height.
To find the volume, use this formula:
V = π × radius (r)² × height (h)
If a cylinder has a radius of 2 cm and a height of 5 cm, then:
V = π × (2 × 2) × 5 = 20π
This is about 62.83 cm³ when you calculate it.
By using these simple methods, you can easily find the volume of different shapes!