Area and Surface Area- day 15

More Nets, More Surface Area

Lesson 15: More Nets, More Surface Area

Objective:

Today I will interpret two-dimensional representations of prisms and pyramids so that I can draw and assemble a net. I know I am successful when I can complete Cool Down 15 to earn a 4.

Notice and Wonder: Wrapping Paper

Kiran is wrapping this box of sports cards as a present for a friend.

Open Ended

What do you notice? What do you wonder?

Building Prisms and Pyramids

Draw the net and calculate the surface area of the polyhedron below:

Multiple Choice

What polyhedron do you have?

• rectangular prism

• triangular prism

• rectangular pyramid

Study your polyhedron. Then, draw its net on graph paper. Use the side length of a grid square as the unit.

Open Ended

Find the surface area of your polyhedron. Show your thinking in an organized manner so that it can be followed by others.

Comparing Boxes

Here are the nets of three cardboard boxes that are all rectangular prisms. The boxes will be packed with 1-centimeter cubes. All lengths are centimeters.

Open Ended

Find the surface area of A.

Open Ended

Find the surface area of B.

Open Ended

Find the surface area of C.

Open Ended

Compare the surface areas of the boxes. Which box will use the least cardboard? Show your reasoning.

Multiple Choice

CHALLENGE: Now compare the volumes of these boxes in cubic centimeters. Which box will hold the most 1-centimeter cubes?

• A

• B

• C