Geometry, Unit 8: Area, Volume, and Coordinate Geometry. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
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- What is the formula for the area of a rectangle?
- length times width
- What is the formula for the area of a triangle?
- one half times base times height
- What is the formula for the area of a parallelogram?
- base times height
- What is the formula for the area of a trapezoid?
- one half times (base1 + base2) times height
- What is the formula for the area of a regular polygon?
- one half times perimeter times apothem
- What is an apothem?
- The distance from the center of a regular polygon to the midpoint of a side
- What is the formula for the volume of a rectangular prism?
- length times width times height
- What is the formula for the volume of a cylinder?
- pi times radius squared times height
- What is the formula for the volume of a cone?
- one third times pi times radius squared times height
- What is the formula for the volume of a sphere?
- four thirds times pi times radius cubed
- What is the formula for the volume of a pyramid?
- one third times base area times height
- What is the formula for the surface area of a rectangular prism?
- 2 times (lw + lh + wh)
- What is the formula for the surface area of a cylinder?
- 2 times pi times r times h, plus 2 times pi times r squared
- What is the formula for the surface area of a sphere?
- 4 times pi times radius squared
- What is a net, in the context of 3D solids?
- A two-dimensional pattern that folds into a 3D solid
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