Area and Volume Problems (Junior Cert Mathematics): Flashcards

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Area and Volume Problems
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First step when solving area/volume problems

Understand what's asked & which shapes are involved

Purpose of drawing diagram in area/volume problems

Visualise shapes & label given dimensions clearly

How to handle complex combined shapes

Break down into simpler shapes (e.g. cylinder on cuboid)

Unit requirement before calculating area/volume

All measurements must be in the same units

Volume formula for a cylinder

V=πr2hV = \pi r^2 h

π\pi in volume formulas

Mathematical constant

For exact values, use π\pi or 3.14?

Use π\pi exactly, not 3.14

rr in cylinder formula V=πr2hV = \pi r^2 h

Radius of the cylinder's base

hh in cylinder formula V=πr2hV = \pi r^2 h

Height of the cylinder

How to find radius from diameter

Radius is half of diameter: r=d2r = \frac{d}{2}

Units for volume measurements

cm3cm^3 (cubic centimetres)

Units for area measurements

cm2cm^2 (square centimetres)

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