Grade 6 Mathematics · Unit 5: Solve Area, Surface Area, and Volume ProblemsStandard 6.GR.4

Lesson 5.65.6 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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Learning target I can find the surface area of a solid by using its net, explain why the method works, and use it on a problem I have not seen before.

Remember5.6 Small Group · Group 2

Surface area adds the areas of all the faces on the net, so it covers the outside and is measured in square units, not cubic units. A net can work backward. From the surface area, you can find the size of one face.

Words: Surface area (Área de superficie)Net (Plantilla (desarrollo plano))Face (Cara)Two-dimensional (Bidimensional)Edge (Arista)

  1. 1Complete each step, then write the final answer.

    A gift box is 6 in long, 6 in wide, and 2 in tall. How much paper covers the box with no overlap?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    A cube has a surface area of 384 square centimeters. How long is each edge?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    A tissue box is 5 in long, 5 in wide, and 6 in tall. It has a 2 in by 3 in hole in the top. How much cardboard does the box use?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    A box has a square base and is 10 cm tall. Its surface area is 192 square centimeters. How long is each side of the base?

    Show your work
    Final answer:

Explain your thinkingA net can work backward. How can a surface area help you find a missing edge? Use the cube or the box you solved together.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help