Surface Area and Volume Calculations

This video tutorial covers Unit 6, Lesson 14 on evaluating expressions with exponents. It includes various problems where students learn to evaluate expressions, calculate volumes and surface areas, solve percentage problems, and identify solutions to equations. The tutorial also explores different strategies for multiplication and cubing results, providing a comprehensive understanding of exponents in mathematical expressions.

What is the result of multiplying 8 by the square of 3?

• 64

• 72

• 18

• 24

How do you evaluate 7 plus 2 to the third power?

• 15

• 21

• 14

• 9

What is the result of 20 minus 2 to the fourth power?

• 4

• 12

• 16

• 8

How do you calculate the volume of a cube with side 5 inches?

• 5 times 5

• 5 to the fourth power

• 5 squared

• 5 cubed

What is the total surface area of 10 cubes, each with a side of 5 inches?

• 5 squared

• 60 times 5 squared

• 10 times 5 cubed

• 5 times 5 times 5

What is the correct result of multiplying one-third four times?

• Four-thirds

• Eighty-one

• One-third

• One over eighty-one

If 125% of a number is 30, what is the original number?

• 36

• 30

• 40

• 24

How do you find 100% of a number if 35% of it is 14?

• 35

• 40

• 28

• 14

What is the result of 15 times 23 using Jada's method?

• 115

• 230

• 345

• 460

How can you partition a 15 by 23 rectangle to show Jada's reasoning?

• 5 by 23 and 10 by 10

• 23 by 23 and 15 by 15

• 10 by 23 and 5 by 23

• 15 by 15 and 8 by 23