Prisms and Surface Area Concepts

This lesson covers the properties and types of prisms, including triangular, square, rectangular, pentagonal, and hexagonal prisms. It explains how to calculate the surface area of a square prism and applies this knowledge to determine the cost of canvas for a tent. The lesson also includes a section on converting square feet to square yards, emphasizing the importance of understanding square units. The lesson concludes with a brief introduction to the next topic, which involves using fractional edge lengths for volume calculations.

What defines a prism in terms of its structure?

• It has circular bases.

• It is a two-dimensional shape.

• It has only triangular faces.

• It has two identical and parallel polygonal bases.

How many rectangular faces does a pentagonal prism have?

• Six

• Four

• Five

• Three

What is the total surface area of a square prism with a side length of 2.5 inches and a height of 4 inches?

• 60 square inches

• 52.5 square inches

• 52 square inches

• 40 square inches

Which of the following is true about the sides of a square prism?

• All sides are different lengths.

• Only the height is equal to the base.

• Only the bases are equal.

• All sides are equal.

If a tent has no floor, how many rectangular faces does it have?

• One

• Two

• Three

• Four

What is the cost of canvas for a tent with a total area of 60 square feet if the canvas costs 88 cents per square foot?

• $48.00

• $52.80

• $60.00

• $54.00

What is the formula to calculate the area of a triangle?

• Base times height

• Base plus height

• Length times width

• Half times base times height

How many square feet are there in one square yard?

• Three

• Six

• Twelve

• Nine

What is the area in square yards of a carpet runner that is 3 feet wide and 12 feet long?

• Four square yards

• Nine square yards

• Three square yards

• Six square yards

What is the first step in converting square feet to square yards?

• Divide by 9

• Multiply by 9

• Divide by 3

• Multiply by 3