Predict how a solid changes when every length is multiplied by the same factor.
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First lesson in this subject: Complete the angle sum
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A cube with edge s has surface area 6s² and volume s³. Surface area measures its six faces in square units. Volume measures the space inside in cubic units.
Double the edge from 1 to 2. Surface area changes from 6 to 24, a factor of 4. Volume changes from 1 to 8, a factor of 8.
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First lesson in this subject: Complete the angle sum
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Practice · Compare volume and surface area in cuboids, cylinders and cones. Explore what happens when a solid is scaled.
Book · Explore measurements, transformations, coordinates and geometric relationships through diagrams and worked examples.
Previous lesson · Find a line’s slope from coordinate differences and keep the sign.
Next lesson · Turn circle tangency into distances between centers, then use a right triangle to find a radius.
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