This video tutorial covers the differences between volume and surface area, providing examples and calculations for each. It includes exercises on calculating the surface area of a heart-shaped box and the volume of a wheelbarrow. The tutorial also addresses finding the surface area of a tray after concrete is removed and concludes with homework problems to reinforce the concepts.

What is the main difference between volume and surface area?

• Volume measures the color of an object, while surface area measures its texture.

• Volume measures the length of an object, while surface area measures its width.

• Volume measures the weight of an object, while surface area measures its height.

• Volume measures the space inside an object, while surface area measures the space around it.

How do you calculate the surface area of a heart-shaped box?

• By multiplying the base area by the height.

• By adding the base areas and the product of the perimeter and height.

• By adding the volume and the perimeter.

• By subtracting the height from the perimeter.

What additional information is needed to calculate the perimeter of the heart-shaped box?

• The material of the box.

• The weight of the box.

• The length of the diagonal lines.

• The color of the box.

What is the formula for calculating the volume of the wheelbarrow?

• Base area divided by height.

• Base area multiplied by height.

• Perimeter multiplied by height.

• Base area plus perimeter.

What is the first step in calculating the surface area of the tray after dumping the concrete?

• Adding the base areas.

• Removing the top surface area.

• Calculating the perimeter of the tray.

• Finding the volume of the tray.

How do you calculate the surface area of a prism if the height is doubled?

• Add the base area to the perimeter times the new height.

• Multiply the original surface area by two.

• Divide the original surface area by two.

• Subtract the original height from the new height.

What is the percentage increase in surface area when the height of a prism is doubled?

• 50%

• 67%

• 100%

• 150%

What is the percentage increase in volume when the height of a prism is doubled?

• 100%

• 50%

• 150%

• 67%

Which situation would require knowing the volume rather than the surface area?

• Wrapping a gift with paper.

• Filling an aquarium with water.

• Calculating the area of a race car's ad space.

• Determining the amount of paint needed for a barn.

How do you find the percentage of the flag that is gold?

• By subtracting the area of the gold disc from the area of the flag.

• By dividing the area of the gold disc by the area of the flag.

• By multiplying the area of the gold disc by the area of the flag.

• By calculating the perimeter of the flag.