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Formulas for surface area and volume of common 3D shapes.

A chart displaying formulas for surface area and volume of geometric shapes including right prism, right cylinder, regular pyramid, right cone, and sphere, with diagrams and mathematical equations.

A chart displaying formulas for surface area and volume of geometric shapes including right prism, right cylinder, regular pyramid, right cone, and sphere, with diagrams and mathematical equations.

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Show Answer Key & Explanations Step-by-step solution for: Area & Volume - Mrs. Millers Math Website
- The surface area of a right prism is calculated using the formula S = 2B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height.
- The volume of a right prism is calculated using the formula V = Bh, where B is the area of the base and h is the height.
- The surface area of a right cylinder is calculated using the formula S = 2B + Ch or S = 2πr² + 2πrh, where B is the area of the base, C is the circumference of the base, r is the radius, and h is the height.
- The volume of a right cylinder is calculated using the formula V = Bh or V = πr²h, where B is the area of the base, r is the radius, and h is the height.
- The surface area of a regular pyramid is calculated using the formula S = B + ½Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height.
- The volume of a regular pyramid is calculated using the formula V = ⅓Bh, where B is the area of the base and h is the height.
- The surface area of a right cone is calculated using the formula S = B + ½Cl or S = πr² + πrl, where B is the area of the base, C is the circumference of the base, r is the radius, and l is the slant height.
- The volume of a right cone is calculated using the formula V = ⅓Bh or V = ⅓πr²h, where B is the area of the base, r is the radius, and h is the height.
- The surface area of a sphere is calculated using the formula S = 4πr², where r is the radius.
- The volume of a sphere is calculated using the formula V = ⁴⁄₃πr³, where r is the radius.
Parent Tip: Review the logic above to help your child master the concept of volumes of sphere cone and pyramid worksheet.
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