Mathematical Problem Solving Techniques

The video tutorial explains how to solve for a missing side of a cuboid by setting up and simplifying an algebraic expression for the surface area. It guides through the steps of finding the missing side, simplifying the expression, solving for the variable x, and verifying the solution. The tutorial concludes with a check to ensure the solution is correct.

What is the first step in solving the surface area problem of a cuboid with an unknown side?

• Find the volume of the cuboid

• Identify the known sides

• Calculate the perimeter

• Determine the color of the cuboid

How do you calculate the front side of the cuboid?

• Add the length and width

• Multiply the length by the width

• Multiply the length by the height

• Subtract the width from the height

What expression represents the side of the cuboid?

• 10 times x

• x minus 2

• x plus 10

• 2 times x

What is the expression for the top side of the cuboid?

• x plus 10

• 2 times x

• 10 times 2

• 10 times x

Why do we multiply the expression by 2?

• To account for the hidden sides

• To simplify the equation

• To double the volume

• To find the perimeter

What is the purpose of multiplying the expression by 2 in the context of the cuboid?

• To find the total surface area

• To adjust for measurement errors

• To calculate the volume

• To determine the height

What is the purpose of the dotted lines in the explanation?

• To show the hidden sides

• To indicate the height

• To mark the length

• To highlight the width

What is the simplified expression for the surface area before solving for x?

• 2x + 10

• 24x + 40

• 12x + 20

• 10x + 2x + 20

What is the next step after simplifying the expression to 12x + 20?

• Divide by 12

• Add 40 to both sides

• Multiply by 2

• Subtract 20 from both sides

What operation is performed to eliminate the constant term in the equation 24x + 40 = 112?

• Addition

• Multiplication

• Subtraction

• Division