Maths · Topic 1: Year 10

Area and volume

Perimeter and area of 2D shapes, converting units of area and volume, bounds and accuracy, prisms, circles and sectors, and the volume and surface area of cylinders, spheres, pyramids and cones.

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Key terms in this chapter

All 21, gathered from every lesson.

Perimeter
The total distance around the edge of a shape.
Area
The amount of space inside a 2D shape, in square units.
Perpendicular height
The height measured at right angles to the base.
Compound shape
A shape made from two or more simple shapes.
Trapezium
A quadrilateral with one pair of parallel sides.
Capacity
How much a container holds, in ml or litres.
Lower bound
The smallest value that rounds to the given number.
Upper bound
The value where rounding switches up to the next number; the interval stops just below it.
Error interval
The range of possible values, e.g. \(8.25 \le l < 8.35\).
Truncate
Cut off digits without rounding.
Prism
A 3D shape with the same cross-section all along its length.
Cross-section
The shape you get when you slice through a solid at right angles to its length.
Volume
The space inside a 3D shape, in cubic units.
Surface area
The total area of all the faces of a 3D shape.
Net
A 2D shape that folds to make a 3D solid.
Radius
The distance from the centre to the edge of a circle.
Diameter
A straight line across a circle through its centre; twice the radius.
Circumference
The distance around the edge of a circle.
Chord
A straight line joining two points on a circle.
Tangent
A straight line that touches a circle at exactly one point.
\(\pi\)
Pi: the circumference divided by the diameter of any circle, 3.14159...