Calculating Volume of Solids

The video tutorial explains how to calculate the volume of a solid by dividing it into three parts: red, middle, and bottom. Each part's volume is calculated using the formula length × width × height. The red piece has dimensions 8 × 3 × 10, the middle piece 5 × 3 × 10, and the bottom piece 8 × 2 × 10. The volumes are 240, 150, and 160 cubic units, respectively. Adding these gives a total volume of 550 cubic units. The tutorial emphasizes breaking down complex shapes into simpler parts for easier calculation.

What is the first step in finding the volume of the given solid?

• Calculate the surface area

• Break the solid into smaller pieces

• Find the perimeter

• Measure the weight

What is the formula used to calculate the volume of a solid?

• Width x Height

• Length x Width

• Length x Width x Height

• Length + Width + Height

What is the volume of the red piece if its dimensions are 8 by 3 by 10?

• 550 cubic units

• 150 cubic units

• 240 cubic units

• 160 cubic units

What are the dimensions of the middle piece?

• Length: 8, Width: 3, Height: 10

• Length: 5, Width: 3, Height: 10

• Length: 8, Width: 2, Height: 10

• Length: 5, Width: 2, Height: 10

What is the volume of the middle piece?

• 550 cubic units

• 160 cubic units

• 150 cubic units

• 240 cubic units

What is the volume of the bottom piece with dimensions 8 by 2 by 10?

• 150 cubic units

• 550 cubic units

• 240 cubic units

• 160 cubic units

What is the total volume of the solid after adding all pieces?

• 160 cubic units

• 550 cubic units

• 240 cubic units

• 150 cubic units

What is the best approach to solve the problem of finding the volume of the solid?

• Measure the weight first

• Calculate the surface area first

• Break it into separate pieces, find each volume, then add them

• Find the perimeter first