Surface Area and Volume Concepts

The video tutorial covers the concepts of surface area and volume, explaining key terms and formulas. It provides examples of calculating the surface area of a cube, cone, and square-based pyramid, as well as the volume of a square-based pyramid. The tutorial also discusses how changes in dimensions affect the volume of prisms.

What is the primary difference between surface area and volume?

• Surface area measures the inside of a figure, while volume measures the outside.

• Surface area is measured in cubic units, while volume is measured in square units.

• Surface area measures the outside of a figure, while volume measures the inside.

• Surface area and volume are the same.

If a cube has an edge length of 4 inches, how many square inches of paper are needed to wrap it without overlap?

• 32 square inches

• 128 square inches

• 96 square inches

• 64 square inches

Which formula is used to calculate the surface area of a cone?

• 1/3Bh

• 1/2lp + B

• πr² + πrl

• 2lw + 2lh + 2wh

What is the slant height of a cone if the diameter is 10 and the slant height is given as 10?

• 15

• 5

• 20

• 10

How do you calculate the perimeter of a square base with side length 2.5?

• 2.5 x 2

• 2.5 x 4

• 2.5 x 2.5

• 2.5 + 2.5

What is the minimum amount of gold paper needed to cover a square-based pyramid with a base side length of 2.5 and slant height of 1.5?

• 10.75 square feet

• 13.75 square feet

• 15.75 square feet

• 12.75 square feet

How do you calculate the volume of a square-based pyramid?

• 1/2lp + B

• 1/3Bh

• πr² + πrl

• 2lw + 2lh + 2wh

If a square-based pyramid has a base side of 3 inches and a height of 4 inches, what is its volume?

• 18 cubic inches

• 12 cubic inches

• 30 cubic inches

• 24 cubic inches

What happens to the volume of a prism if its height is doubled?

• The volume is halved.

• The volume remains the same.

• The volume is doubled.

• The volume is tripled.

How does changing one dimension of a prism affect its surface area?

• It doubles the surface area.

• It has no effect on the surface area.

• It decreases the surface area.

• It increases the surface area, but the exact amount is unknown without calculation.