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Unit 5 Area & Volume
Memorize the formulas
| Term | Definition |
|---|---|
| Volume of a pyramid (The base shape matters!) | 1/3 × area of base × height |
| Volume of a sphere | 4/3 × πr^3 |
| Circumference | 2πr |
| Density formula | density = mass/volume |
| Formula for dilated surface area | Aog × k^2 |
| Formula for dilated area | Aog × k^2 |
| Formula for dilated volume | Vog × k^3 |
| Oblique | slanted 3D shape that has the same volume and parallel cross section as its right version |
| Frustum | Slice the top off a cone or pyramid parallel to its base |
| Area of a rectangle | base × height |
| Area of a parallelogram | base × height (height MUST be perpendicular to base!) |
| Area of a triangle | 1/2 × base × height |
| Area of a trapezoid | 1/2(base1 + base2) × height |
| Area of a kite | 1/2 × diagonal1 × diagonal2 |
| Area of a rhombus | Area of a kite or a parallelogram |
| Area of a circle | πr^2 |
| Volume of any prism | Area of base × height |
| Volume of a cylinder | πr^2 × height |
| Volume of a cone | 1/3 × πr^2 × height |