Volume of a Prism

A prism has the same cross-section all the way through, so its volume is the area of that cross-section times the distance between its ends: \(V = Ah\). In NSW Year 8 maths (NESA outcome MA4‑VOL‑C‑01) the cross-section can be any shape whose area you can find.

You will find the volume of prisms with triangle, parallelogram, trapezium, rhombus and sector cross-sections, take away a hole that runs right through, and work backwards to a missing length or the edge of a cube. You will also see how halving the cross-section or tripling the length changes the volume, and find the space inside a tent, the concrete in a ramp and the water in a trough. It is part of Year 8 Volume.