Geometry of 3D Shapes

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Questions and Answers

A cube has a side length of 5 cm. What is the total surface area of the cube?

  • 75 cm^2
  • 250 cm^2
  • 125 cm^2
  • 150 cm^2 (correct)

A cuboid has a length of 8 cm, a breadth of 6 cm, and a height of 4 cm. What is the lateral surface area of the cuboid?

  • 112 cm^2 (correct)
  • 192 cm^2
  • 80 cm^2
  • 96 cm^2

A right circular cylinder has a radius of 3 cm and a height of 10 cm. What is the total surface area of the cylinder?

  • 264Ï€ cm^2
  • 336Ï€ cm^2
  • 180Ï€ cm^2
  • 156Ï€ cm^2 (correct)

A cuboid has a volume of 120 cm^3. If its length is 10 cm and its breadth is 6 cm, what is its height?

<p>2 cm (C)</p> Signup and view all the answers

A cube has a lateral surface area of 36 cm^2. What is the volume of the cube?

<p>27 cm^3 (C)</p> Signup and view all the answers

Flashcards

Cuboid

A 3D geometric shape with six rectangular faces.

Lateral surface area of cuboid

Calculated as 2h(l + b) where h = height, l = length, b = breadth.

Total surface area of cuboid

Calculated as 2h(lb + bh + hl) including all faces.

Volume of a cuboid

Measured as lbh; it's the space inside the cuboid.

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Curved surface area of right circular cylinder

Calculated as 2Ï€rh, where r = radius, h = height.

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Study Notes

Cuboid

  • Lateral surface area: 2h(l + b)
  • Total surface area: 2h(l + b + h)
  • Volume: lbh

Cube

  • Lateral surface area: 4a²
  • Total surface area: 6a²
  • Volume: a³

Right Circular Cylinder

  • Curved surface area: 2Ï€rh
  • Total surface area: 2Ï€r(h + r)

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