SHAPE

FORMULA

DIAGRAM

Cube

​$$V=x\times x\times x=x^3$$​

Where $$x$$​ is the length of a single side.

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​​Cuboid

​$$V=\text{length}\times \text{width}\times \text{height}$$​​

​$$V=lwh$$​​

Cylinder

$$V=\pi\times\text{radius}^2\times \text{height}$$​​

​$$V=\pi r^2h$$​​

Prism

​$$V=A\times l$$​​

Where $$A$$​ is the area of the cross-section, and $$l$$​ is the length.

Sphere

​​​$$V=\dfrac{4}{3}\pi\times\text{radius}^3$$​​

​$$V=\dfrac{4}{3}\pi r^3$$​​

Cone

​$$V=\dfrac{1}{3}\pi\times\text{radius}^2\times \text{height}$$​​

​$$V=\dfrac{1}{3}\pi r^2h$$​​

Pyramid

​$$V=\dfrac{1}{3}\times A\times h$$​​

Where $$A$$​ is the base area, and $$h$$​ is the height.

Frustum

​$$V=\text{volume of bigger cone} -\text{volume of smaller cone}$$​​