Rectangular Solids and Prisms (Leaving Cert Mathematics): Flashcards

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Rectangular Solids and Prisms
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Alternative name for rectangular solid

Cuboid

Volume formula for rectangular solid

V=l×b×hV = l \times b \times h

Surface area formula for rectangular solid

SA=2lb+2lh+2bhSA = 2lb + 2lh + 2bh

Why rectangular solid has 2 in surface area formula

Six faces come in three pairs of identical rectangles

Definition of prism

3D shape with same cross-sectional area throughout length

General volume formula for any prism

V=A×lV = A \times l (cross-section area × length)

What is constant along a prism's length

Cross-sectional area

Definition of net in 3D geometry

2D shape that can be folded to create a 3D shape

Number of different possible nets for a cube

11

How to find area of composite cross-section

Calculate area of each shape and add them together

Units for volume measurements

Cubic units (cm³, m³, etc.)

Types of prisms by cross-section

Rectangular, triangular, cylindrical, irregular

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