Volume and Area of Shapes

This video tutorial covers lesson 17 on squares and cubes. It begins with an introduction to perfect squares and cubes, providing examples and explanations. The video then explores the use of exponents in expressing squares and cubes. It includes practice problems and solutions to reinforce the concepts taught. The tutorial aims to help students understand and apply the concepts of perfect squares, perfect cubes, and exponents in mathematical problems.

Which of the following numbers is a perfect square?

• 25

• 30

• 50

• 15

If a square has a side length of 7, what is its area?

• 14

• 28

• 49

• 56

How many snap cubes are used to build a 3x3x3 cube?

• 36

• 27

• 45

• 18

What is the volume of a cube with a side length of 10 inches?

• 1500

• 1000

• 500

• 100

Which of the following is a perfect cube?

• 50

• 45

• 16

• 27

Express the volume of a cube with side length 's' using exponents.

• s^5

• s^2

• s^4

• s^3

What is the area of a square with a side length of 10 cm expressed using exponents?

• 10^2

• 10^1

• 10^4

• 10^3

Which of the following numbers is not a perfect square?

• 50

• 36

• 64

• 49

What is the surface area of a rectangular prism with dimensions 3x2x1?

• 26

• 12

• 18

• 22

What is the volume of a cube with an edge length of 3?

• 36

• 27

• 18

• 9