Volume Calculation and Problem Solving

This video tutorial covers solving multi-step volume problems using the formula for the volume of a rectangular prism. It includes examples such as calculating the volume and length of a water trough, determining the weight of water in the trough, and finding the width of a raised bed garden. The tutorial concludes with a transition to the next module, which focuses on finding the mean.

What is the formula for the volume of a rectangular prism?

• V = width × height

• V = length + width + height

• V = length × width × height

• V = length × width

Why do we need to convert quantities to cubic feet in volume problems?

• To make the problem more complex

• To avoid using decimals

• To ensure all measurements are in the same unit

• To simplify the calculations

What does the capital 'B' represent in the volume formula V = B × height?

• Base length

• Breadth

• Base width

• Base area

How do you find the volume of a water trough holding 45 gallons of water?

• Subtract 7.5 from 45

• Add 45 and 7.5

• Divide 45 by 7.5

• Multiply 45 by 7.5

What is the length of a water trough if its volume is 6 cubic feet, width is 1 foot, and height is 2 feet?

• 5 feet

• 4 feet

• 3 feet

• 2 feet

How much does the water in the trough weigh if one cubic foot of water weighs 62.43 pounds?

• 450 pounds

• 400 pounds

• 374.58 pounds

• 312.15 pounds

What is the first step in solving the raised bed garden problem?

• Find the width

• Find the volume

• Find the height

• Find the length

How do you calculate the width of the raised bed garden if the volume is 14.4 cubic feet, length is 6 feet, and height is 0.8 feet?

• Subtract 4.8 from 14.4

• Multiply 14.4 by 4.8

• Divide 14.4 by 4.8

• Add 14.4 and 4.8

What is the width of the raised bed garden?

• 2 feet

• 3 feet

• 5 feet

• 4 feet

Why is it helpful to draw a diagram when solving volume problems?

• To make the problem look more complex

• To avoid using formulas

• To reduce the number of calculations

• To visualize the problem and identify missing information