Area and Surface Area- Day 16

Distinguishing Between Surface Area and Volume

Lesson 16

Objective:

Today I will distinguish the difference between surface area and volume so that I can determine the surface area and volume of rectangular prisms. I know I am successful when I can complete Cool Down 16 to earn a 4.

Attributes and Their Measures

For each quantity, choose one or more appropriate units of measurement.

Multiple Select

Perimeter of a parking lot

• feet (ft)

• meters (m)

• square miles (sq mi)

• cubic yards (cu yd)

Multiple Select

Volume of a semi truck

• cubic kilometers

• cubic yards

• meters (m)

• square feet (sq ft)

Multiple Select

Surface area of a refrigerator

• millimeters (mm)

• square inches (sq in)

• square feet (sq ft)

• meters (m)

Multiple Select

Length of an eyelash

• square feet (sq ft)

• meters (m)

• square miles (sq mi)

• millimeters (mm)

Multiple Select

Area of a state

• square inches (sq in)

• cubic yards (cu yd)

• square miles (sq mi)

• feet (ft)

Multiple Select

Volume of an ocean

• meters (m)

• cubic yards (cu yd)

• square miles (sq mi)

• cubic kilometers (cu km)

Multiple Choice

What is the "formula" for surface area of a rectangular prism?

• SA = 2lw + 2lh + 2wh
• SA = lw + lh + wh
• SA = length ∙ width
• SA = lw + lh + wh ÷ 2

Multiple Choice

Which formula can be used to find the volume of a rectangular prism?

• length x width
• length x width x height
• height x length
• length + width + height

Multiple Choice

What is the formula used to find the volume of a rectangular prism?

• V = Lw
• V = Lwh
• V = 1/2bh
• V = 2∏r

Comparing Prisms Without Building Them

Three rectangular prisms each have a height of 1 cm.

Open Ended

Find the surface area of prism A. Prism A has a base that is 1 cm by 11 cm. (height of 1 cm)

Open Ended

Find the volume of prism A. Prism A has a base that is 1 cm by 11 cm. (height of 1 cm)

Open Ended

Find the surface area of prism B. Prism B has a base that is 2 cm by 7 cm. (height of 1 cm)

Open Ended

Find the volume of prism B. Prism B has a base that is 2 cm by 7 cm. (height of 1 cm)

Open Ended

Find the surface area of prism C. Prism C has a base that is 3 cm by 5 cm. (height of 1 cm)

Open Ended

Find the volume of prism C. Prism C has a base that is 3 cm by 5 cm. (height of 1 cm)

Open Ended

Analyze the volumes and surface areas of the prisms. What do you notice? Write 1–2 observations about them.

Poll

How I feel after today

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