Solving Problems (Leaving Cert Mathematics): Flashcards

📚Flashcards
Solving Area/Volume Problems
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Examples of 2D shapes in area problems

Triangle, circle

Examples of 3D shapes in volume problems

Cylinder, sphere

Correct units for area

Square units

Correct units for volume

Cubic units

Formula for area of a triangle

12×Base×Height\frac{1}{2} \times \text{Base} \times \text{Height}

Area formula for trapezium

12×(Base1+Base2)×Height\frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}

Volume formula for a cylinder

πr2h\pi r^2 h

Volume formula for a sphere

43πr3\frac{4}{3} \pi r^3

Surface area formula for hemisphere

2πr22\pi r^2

First step in solving area/volume problems

Identify the given values

Final verification step in solving problems

Verify units are correct

Area of trapezium: bases 10, 14 cm; height 8 cm

96cm296 \, \text{cm}^2

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