Finding Dimensions of Rectangular Prisms

In this video tutorial, students learn how to find the missing dimension of a rectangular prism. The teacher begins by introducing the concept and labeling the known dimensions of the prism. Using the volume formula, the teacher demonstrates how to solve for the missing height by substituting known values and performing calculations. The solution is verified by recalculating the volume with the found height, ensuring accuracy. This tutorial provides a step-by-step approach to solving for missing dimensions in geometric shapes.

What is the main objective of this lesson?

• To understand the properties of a cube

• To find the missing dimension of a rectangular prism

• To find the volume of a rectangular prism

• To calculate the surface area of a prism

Which dimensions are labeled on the prism?

• Length and width

• Length and height

• Width and depth

• Height and width

What formula is used to calculate the volume of a rectangular prism?

• Volume = Length x Width x Height

• Volume = Length x Width

• Volume = Width x Height

• Volume = Length + Width + Height

What is the known volume of the prism in this problem?

• 84 meters cubed

• 74 meters cubed

• 94 meters cubed

• 64 meters cubed

How do you solve for the missing height in this problem?

• By subtracting the width from the volume

• By multiplying the length and width

• By dividing the volume by the product of length and width

• By adding the length and width

What is the calculated height of the prism?

• 2.5 meters

• 4.0 meters

• 3.0 meters

• 3.5 meters

Why is it important to verify the calculated height?

• To verify the height is a whole number

• To ensure the height is greater than the width

• To confirm the calculation matches the given volume

• To check if the height is less than the length

What should the recalculated volume be when verifying the solution?

• 64 meters cubed

• 74 meters cubed

• 84 meters cubed

• 94 meters cubed

What is the final step in verifying the solution?

• Recalculating the volume with the found height

• Rewriting the problem

• Recalculating the width

• Rechecking the length

What does the successful verification of the solution indicate?

• The height is incorrect

• The volume is incorrect

• The calculated height is correct

• The width needs adjustment