Surface Area of Prisms and Cylinders

Open Ended

Explain the difference between lateral surface area and total surface area of a prism.

Open Ended

Give an example of when you'd need to find the surface area of prisms and cylinders in the real-world?

Multiple Select

Which of the following are true about prisms?

• They have two congruent bases.

• They are named according to the shape of their bases.

• They have curved surfaces.

• They have lateral faces

Multiple Select

Which of the following is a characteristic of a square prism?

• It has two parallel square bases.

• It has circular bases.

• It has triangular bases.

• It has 4 lateral faces.

• It has 3 lateral faces.

Fill in the Blanks

The lateral surface area of a prism is calculated using the formula Lateral SA =

.

Multiple Choice

What is the formula for calculating the total surface area of a prism?

• SA = 2B + Ph

• SA = B + Ph

• SA = 2B + 2Ph

• SA = B + 2Ph

Multiple Choice

PART 1:

Find the LATERAL SURFACE area of the rectangular prism.

• 
  $$189\ ft^2$$

• $$200\ ft^2$$

• $$421\ ft^2$$

• $$232\ ft^2$$

Multiple Choice

PART 2:

Find the TOTAL SURFACE area of the rectangular prism.

• 
  $$189\ ft^2$$

• $$200\ ft^2$$

• $$421\ ft^2$$

• $$232\ ft^2$$

Multiple Choice

What is the formula for the total surface area of a triangular prism?

• SA = 2B + Ph

• SA = B + Ph

• SA = 2B + 2Ph

• SA = B + 2Ph

Math Response

Calculate the surface area of the prism using the given dimensions: base perimeter = 32 in, height = 14 in.

Type answer here

Correct Answer: 544

Deg^°

Rad

Open Ended

How does the identification of the base affect the calculation of the surface area of any prism?

Open Ended

Explain how the surface area formula for a cylinder is different than a prism. *( Give at least 2 differences)

(Full sentences)

Fill in the Blanks

The formula for the surface area of a cylinder is A = 2πr(

+ h).

Math Response

Use the formula to determine the surface area of the cylinder.

Type answer here

Correct Answer: 309.13

Deg^°

Rad

Multiple Choice

Calculate the surface area of a cylinder with a radius of 5.4 ft and height of 9.7 ft.

• 500.33 ft²

• 512.33 ft²

• 520.33 ft²

• 530.33 ft²

Open Ended

How do the surface area formulas for prisms and cylinders differ?

Multiple Choice

What is the formula to calculate the surface area of a prism?

• SA = 2B + Ph

• SA = B + 2Ph

• SA = 2B + 2Ph

• SA = B + Ph