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Grade 10 Math · Problem type
Turn a shape: which solid?
Use this for “A right triangle is turned about one leg. What solid does it sweep out?”
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What solid does the shape sweep out?
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Assumptions
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Turning a flat shape all the way round a line sweeps out a solid.
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The line it turns about becomes the solid’s axis.
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A side on the line stays put; a side parallel to it sweeps a curved surface.
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What shape is the cut?
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Modeling with geometry: density, design and optimization
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Surface area and volume of solids, cross sections and Cavalieri's principle
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Use this for “A square pyramid has base side 6 cm and height 4 cm. Find its slant height and surface area.”
What shape is the cut?
Use this for “A plane cuts a cube through three corners. What shape is the cross section?”