Properties and Formulas of Cuboids

The video tutorial explains the geometry of cuboids and cubes, focusing on their dimensions, surface areas, and volumes. It begins by defining a cuboid and its three dimensions: length, breadth, and height. The tutorial then details how to calculate the total and lateral surface areas of a cuboid, followed by its volume. The special case of a cube is introduced, highlighting that all sides are equal, leading to simplified formulas for surface area and volume. The session concludes with a preview of the next topic: cylinders.

What are the three dimensions that define a cuboid?

• Length, width, and depth

• Length, height, and depth

• Length, breadth, and height

• Width, height, and depth

Which of the following is not a property of a cuboid?

• It has six faces

• All faces are rectangles

• It has equal length, breadth, and height

• It is three-dimensional

How many surfaces does a cuboid have?

• Four

• Five

• Six

• Eight

What is the formula for the total surface area of a cuboid?

• lbh

• 2(l + b + h)

• 2(lh + lb + bh)

• lh + lb + bh

Which surfaces are included in the lateral surface area of a cuboid?

• Top and bottom

• Front and back

• Left and right

• All side surfaces except top and bottom

What is the lateral surface area of a cuboid with length 5, breadth 3, and height 4?

• 34

• 40

• 56

• 62

What is the formula for the volume of a cuboid?

• lb + bh + lh

• 2(lh + lb + bh)

• lbh

• l + b + h

What is the main difference between a cube and a cuboid?

• A cube has equal length, breadth, and height

• A cube has more surfaces

• A cube has less volume

• A cube has different dimensions

If each side of a cube is 's', what is the formula for its total surface area?

• 6s²

• 4s²

• 2s²

• s³

How many faces contribute to the lateral surface area of a cube?

• Six

• Two

• Three

• Four