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Cuboid & Cylinder
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High Yield·27/31 papers · 6 years
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By the end of this lesson, you'll solve:

"A water tank is 2m long, 1.5m wide, and 1m tall. How many liters of water does it hold? (Hint: 1 cubic meter = 1000 liters)"

Cuboid (Rectangular Box)

Picture this: your lunchbox, your room, a brick -- all cuboids! A cuboid has length (l), breadth (b), and height (h).

Length4
Width3
Height5
Volume60
Surface Area94

Key Points

  • 1
    Volume = l x b x h (space inside)
  • 2
    Total Surface Area = 2(lb + bh + hl) (all six faces)
  • 3
    Lateral Surface Area = 2h(l + b) (four walls only, no top/bottom)
  • 4
    Cube: special cuboid where l = b = h

Pro Tip

Cube shortcuts: Volume = a^3, TSA = 6a^2, LSA = 4a^2.

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