Right Prisms and Cylinders (Grade 10 NSC Matric Mathematics): Flashcards

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Right Prisms and Cylinders
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Feature that makes a prism 'right'

Angles between base and side faces are 90°

4 types of right prisms by base shape

Triangular, rectangular, cube, cylinder

Definition of surface area

Total area of all outer surfaces of a 3D shape

Net in geometry

Flat pattern when a prism is unfolded

3 steps to find surface area

Sketch net, find each area, add all areas

Definition of volume

3D space occupied by object, measured in cubic units

Universal volume formula for right prisms

V=Area of base×HeightV = \text{Area of base} \times \text{Height}

Volume formula for rectangular prism

V=l×b×hV = l \times b \times h

Volume formula for triangular prism

V=12×b×h×HV = \frac{1}{2} \times b \times h \times H

Volume formula for cylinder

V=πr2×hV = \pi r^2 \times h

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