Volume and Surface Area Applications

This video tutorial covers Math 7 Unit 7 Lesson 16, focusing on applying volume and surface area concepts. It includes practical examples such as painting a birdhouse, using a box for modeling clay, and designing a foam play structure. The lesson also involves calculating costs for materials like foam and vinyl, determining sand volume for sandboxes, and designing a pool with liner calculations. Additionally, it explores the area of a trapezoid prism and percentage changes.

What is the primary consideration when Noah decides to paint the birdhouse?

• Weight of the birdhouse

• Height of the birdhouse

• Surface area of the birdhouse

• Volume of the birdhouse

When determining if the clay will fit in the box, which measurement is most relevant?

• Volume of the box

• Surface area of the box

• Color of the box

• Weight of the clay

What is the total volume of the foam play structure?

• 2,216 cubic inches

• 4,960 cubic inches

• 2,480 cubic inches

• 3,960 cubic inches

How is the surface area of the foam play structure calculated?

• Base area plus perimeter times height

• Perimeter times volume

• Volume times height

• Base area times height

What is the cost of foam for the play structure if foam costs 0.8 cents per cubic inch?

• $596

• $496

• $396

• $696

How many bags of sand are needed to add three more inches of depth to the small sandbox?

• 5 bags

• 6 bags

• 4 bags

• 3 bags

If the base of the large sandbox is a scaled copy of the small sandbox with a scale factor of 1.5, how many bags of sand are needed for an additional 3 inches of depth?

• 9 bags

• 8 bags

• 10 bags

• 11 bags

What is the total volume of water needed to fill the pool 4 feet deep?

• 786 cubic feet

• 686 cubic feet

• 586 cubic feet

• 486 cubic feet

How much liner is needed for the pool if only the bottom is lined?

• 498 square feet

• 398 square feet

• 598 square feet

• 298 square feet

What is the total cost of a belt buckle priced at $25 with a sales tax of 6.25%?

• $27.25

• $27.00

• $26.50

• $26.25