Exploring Surface Area and Volume of Cubes and Cuboids

The video begins with a game to identify cuboids, followed by an explanation of dimensions using dots, lines, and rectangles. It then delves into the properties of cuboids, including surface area, volume, and diagonal length, with practical examples. The video transitions to cubes, explaining their unique properties and formulas. It concludes with examples and practice questions to reinforce learning.

What is a cuboid?

• A circular object

• A three-dimensional object with length, breadth, and height

• A shape with only length and breadth

• A two-dimensional shape

How many faces does a cuboid have?

• 10

• 8

• 6

• 4

How many vertices does a cuboid have?

• 4

• 6

• 8

• 12

What is the formula for the volume of a cuboid?

• Length + Breadth + Height

• Length x Breadth x Height

• 2(Length + Breadth + Height)

• Length/Breadth/Height

What is the formula for the diagonal of a cuboid?

• Square root of (L^2 + B^2)

• 2(L + B + H)

• L + B + H

• Square root of (L^2 + B^2 + H^2)

What is the lateral surface area of a cuboid?

• 2(LB + BH)

• LB + BH + LH

• 2(L + B)H

• 2(LH + BH)

What makes a cube different from a cuboid?

• A cube has only 4 faces

• All sides of a cube are equal

• A cube is two-dimensional

• A cube cannot have a volume

How do you calculate the total surface area of a cube?

• 4a^2

• L + B + H

• 6a^2

• 2(LB + BH + LH)

What is the longest stick that can fit inside a cube?

• The diagonal of the cube

• The length of the cube

• The perimeter of the cube

• Twice the length of the cube

How do you find the volume of a cube with a given surface area?

• Cube root of the surface area

• Square root of the surface area

• Multiply the surface area by 6

• Divide the surface area by 6 and then cube the result