LCHL Maths – Area, Volume and Measurement

Leaving Cert Higher Level Maths LCHL Maths – Area, Volume and Measurement

LCHL Area, Volume and Measurement

Your progress through this topic0 of 8 lessons

Lessons in this topic

All 8 lessons, in order — each one ticks off as you open it.

1JC Revision 2Unit Conversion 3Trapezoidal rule 4Area of a triangle using Trigonometry 5Area of a triangle using co-ordinate geometry 6Area between a function and the x-axis (integration)7Area between a function and the y-axis (integration)8Differentiation rate problems

Key ideas in this topic

Area of a circle — Area of a circleAVM 1

Circumference of a circle — Circumference of a circleAVM 1

Area of a sector — Area of a sectorθ in radians

Arc length — Arc lengthθ in radians

Volume of a cylinder — Volume of a cylinderAVM 1

Cylinder — curved surface area — Cylinder — curved surface areathe wraparound only

Cylinder — total surface area — Cylinder — total surface areacurved + the two circular ends

Volume of a cone — Volume of a coneh = the perpendicular height

Cone — curved surface area — Cone — curved surface areal = the SLANT height

Cone — total surface area — Cone — total surface areacurved + the circular base

Cone — slant height — Cone — slant heightPythagoras links r, h and l

Volume of a sphere — Volume of a sphereAVM 1

Surface area of a sphere — Surface area of a sphereAVM 1

Volume of a hemisphere — Volume of a hemispherehalf the sphere

Surface area of a hemisphere — Surface area of a hemispherecurved + the flat circular face

Volume of a prism — Volume of a prismany consistent cross-section

The trapezoidal rule — The trapezoidal ruleAVM 3

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2015 Paper 1 Q3 →

Topic Content

0% Complete 0/8 Steps

Area, volume and Measurement 1 – JC Revision

Area, volume and Measurement 2 – Unit Conversion

Area, volume and Measurement 3 – Trapezoidal rule

Area, volume and Measurement 4 – Area of a triangle using Trigonometry

Area, volume and Measurement 5 – Area of a triangle using co-ordinate geometry

Area, volume and Measurement 6 – Area between a function and the x-axis (integration)

Area, volume and Measurement 7 – Area between a function and the y-axis (integration)

Area, volume and Measurement 8 – Differentiation rate problems