Perimeter, Area and Volume

What this unit covers

The resources move from flat shapes to solids. On the 2D side, the mind map Perimeter and Area of 2D shapes sets out how to add up sides for perimeter and which formulas give area for rectangles, triangles, parallelograms and trapezia. The deck Area of quadrilaterals and triangle covers kites and rhombuses too. On the 3D side, you will find surface area and volume for cylinders, prisms, pyramids, cones and spheres.

Where to start

If perimeter and area are new, begin with the quizzes on the area of a rectangle and the perimeter of a rectangle. Pre-Test on Area of a Rectangle gives word problems, such as finding a missing length from the area and the height. Then move on to triangles, trapezoids and irregular figures.

1. Read a mind map such as Area/Volume Formulas to see the whole set of formulas.
2. Work through the flashcards until the formulas feel familiar.
3. Take a quiz and note which questions slow you down.
4. Go back to the map or notes for those gaps.

Moving into three dimensions

The flashcard deck Surface Area and Volume lists closed cylinders, pyramids and cones, along with the units 1m^3 and 1cm^3. Extending to Three Dimensions has multiple-choice questions, including one on the gas a cylindrical pressure vessel can hold. The mind map 3D Shapes and the one on faces, edges and vertices help with naming solids before you calculate.

Using quizzes and maps together

Use a map first to see how the ideas connect, then a quiz to check them. The notes on mensuration formulas are handy for a quick look before you test yourself. Some resources mention GCSE Maths, so older students can use them as part of revision.

Where it fits

This unit sits within the Geometry, Measurement and Trigonometry strand of Mathematics. Pick one resource that matches where you are now and work through it at your own pace.