Prisms (AQA GCSE Maths): Flashcards

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Prisms
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Definition of a prism

3D shape with same cross-section throughout

Volume formula for prisms

Area of cross-section×Length\text{Area of cross-section} \times \text{Length}

What volume measures

Space a 3D shape takes up (cubic units)

Surface area definition

Total area of all faces (square units)

Triangle area formula

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

Trapezium area formula

12(a+b)h\frac{1}{2}(a+b)h where aa, bb are parallel sides, hh is height

Faces on triangular prism

5 (2 triangular, 3 rectangular)

Surface area method for prisms

Find all faces, calculate each area, add together

Key prism characteristic

Cross-section identical throughout length

Concept behind volume formula

Stacking identical cross-sections along length

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