Surface Area and Volume Concepts

The video tutorial explains the concept of surface area, focusing on cuboids. It introduces the formula for calculating the surface area by summing the areas of all faces. The tutorial details the calculation process for each pair of faces and provides a general formula applicable to all cuboids. An example problem is solved, demonstrating the application of the formula to a complex shape with square, trapezium, and rectangular faces, resulting in a total surface area of 258 cm².

What is the surface area of a 3D object?

• The weight of the object

• The length of its edges

• The total area of all its surfaces

• The volume of the object

How many faces does a cuboid have?

• Eight

• Six

• Five

• Four

Which pair of faces on a cuboid are identical?

• Front and top

• Front and back

• Top and side

• Bottom and side

How do you calculate the area of the front and back faces of a cuboid?

• Length times width

• Height times width

• Width times height

• Length times height

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

• 2(L + W + H)

• LW + LH + WH

• L + W + H

• 2(LW + LH + WH)

What is the area of a square face if its side is 6 cm?

• 36 cm²

• 24 cm²

• 18 cm²

• 12 cm²

What is the area of a trapezium with a given area of 45 cm²?

• 55 cm²

• 60 cm²

• 50 cm²

• 45 cm²

How do you calculate the area of a rectangle measuring 10 cm by 6 cm?

• 16 cm²

• 60 cm²

• 100 cm²

• 36 cm²

What is the total surface area of a shape with three square faces each 36 cm², two trapeziums each 45 cm², and a rectangle 60 cm²?

• 200 cm²

• 300 cm²

• 250 cm²

• 258 cm²

How many square faces does the specific 3D shape have?

• Four

• Two

• One

• Three