Surface Area and Volume Problems

The video tutorial covers the concepts of surface area and volume, explaining how to calculate the surface area of a box and the volume of a juice box. It includes exercises to reinforce these concepts, such as determining the surface area needed to cover a pile of logs and choosing the best baby pool based on volume constraints. The tutorial emphasizes the importance of drawing and labeling diagrams to aid understanding.

What is the total surface area of a box with dimensions 12x15x6 inches?

• 684 square inches

• 720 square inches

• 600 square inches

• 750 square inches

How many gallons of paint are needed to cover a box with a surface area of 684 square inches if one gallon covers 300 square inches?

• 1 gallon

• 2 gallons

• 2.5 gallons

• 3 gallons

What is the volume of a juice box with dimensions 4x1x2 inches?

• 12 cubic inches

• 10 cubic inches

• 8 cubic inches

• 6 cubic inches

What is the minimum surface area needed to cover logs with dimensions 33x12x48 inches?

• 3,840 square inches

• 3,168 square inches

• 3,456 square inches

• 3,600 square inches

Which baby pool model is suitable if the volume must be less than 15 cubic feet?

• 5x5x1 feet

• 4x3x1 feet

• 3x3x2 feet

• 4x2x2 feet

What are possible dimensions for a box with a volume of 18 cubic centimeters?

• 2x3x3 cm

• 3x2x3 cm

• 2x9x1 cm

• 3x3x2 cm

What is the surface area of a gift with dimensions 50x35x5 inches?

• 4,350 square inches

• 4,500 square inches

• 4,600 square inches

• 4,200 square inches

Do you have enough wrapping paper with an area of 4,500 square inches to wrap a gift with a surface area of 4,350 square inches?

• Yes, with some left over

• No, it's not enough

• Yes, but just barely

• No, you need more than 5,000 square inches

What is the volume of a box with dimensions 14x12x3.5 inches?

• 600 cubic centimeters

• 588 cubic inches

• 600 cubic inches

• 588 cubic centimeters

How do you calculate the volume of a rectangular prism?

• Length x Width + Height

• Length + Width + Height

• 2(Length + Width + Height)

• Length x Width x Height