Volume and Surface Area of Prisms and Cylinders Quiz

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Questions and Answers

Which formula is used to find the volume of a prism or a cylinder?

  • Surface area of a cylinder = 2Ï€rh
  • Volume of a prism = Ah (correct)
  • Volume of a cylinder = Ï€r2h
  • Surface area of a prism = sum of areas of all faces

What is the formula for finding the volume of a cylinder?

  • Surface area of a cylinder = 2Ï€rh
  • Volume of a cylinder = Ï€r2h (correct)
  • Volume of a prism = Ah
  • Surface area of a prism = sum of areas of all faces

How is the surface area of a prism defined?

  • Sum of the areas of all its faces (correct)
  • Product of the area of the base and the height
  • Sum of the areas of the lateral faces
  • Sum of the areas of the base and the top

What is the formula for finding the surface area of a cylinder?

<p>Surface area of a cylinder = 2Ï€rh (D)</p>
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What is the main difference between prisms and solids like pyramids, cones, and spheres?

<p>Prisms have uniform cross sections (A)</p>
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Flashcards

Volume of a Prism

Volume equals the area of the base times the height of the prism.

Volume of a Cylinder

Ï€ multiplied by the radius squared, then multiplied by the height.

Surface Area of a Prism

The total area of all the faces of the prism added together.

Surface Area of a Cylinder

Equals 2Ï€rh when finding the surface area of a cylinder.

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Prisms vs. Pyramids/Cones

Prisms maintain the same cross-sectional shape throughout their entire length.

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Study Notes

Volume of Prisms and Cylinders

  • The formula to find the volume of a prism or a cylinder is V = Bh, where V is the volume, B is the base area, and h is the height.
  • This formula applies to both prisms and cylinders because they have two identical bases and a same height.

Volume of a Cylinder

  • The formula to find the volume of a cylinder is V = Ï€r²h, where V is the volume, Ï€ (pi) is a mathematical constant, r is the radius of the base, and h is the height.

Surface Area of Prisms

  • The surface area of a prism is defined as the sum of the areas of its faces, including the two bases and the lateral faces.
  • The formula for surface area varies depending on the type of prism, but it typically involves finding the area of each face and adding them together.

Surface Area of Cylinders

  • The formula to find the surface area of a cylinder is SA = 2Ï€r(h + r), where SA is the surface area, Ï€ (pi) is a mathematical constant, r is the radius of the base, and h is the height.

Prisms vs Other Solids

  • The main difference between prisms and solids like pyramids, cones, and spheres is that prisms have two identical bases, while the other solids have only one base and taper to a point or curve.

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