Volume Of A Cuboid
Simple! A cuboid is just a regular block. The volume is just length times height times width!
Volume Of A Prism
A prism is just a 3D shape with the same shape all the way through.
Volume = area of cross-section shape x length
A cylinder is a prism that has a circle as its cross sectional shape. So for a cylinder:
Volume = hπr2Volume Of A Sphere
Volume of a sphere = 4/3 πr3If asked to find the volume of a hemisphere, i.e. half a sphere, work out the volume for the whole sphere then divide by two. You can use the same method if you get a surface area question about a hemisphere.
Volume Of A Pyramid
A pyramid has a flat base (which can be a triangle, a square etc) but meets at a point at the top.
Volume = 1/3 x base area x vertical heightVolume Of A Cone
A cone is a pyramid with a circular base. Therefore:
Volume = 1/3 x πr2 x heightVolume Of A Frustum
A frustum is a cone with its pointy bit cut off. To work out the volume just find the volume of the full cone and subtract the volume of the cut off cone.