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

Lesson 5.65.6 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target With my small group, I can find the surface area of a solid by using its net — one step at a time, with support.

Remember5.6 Small Group · Group 1

A net shows every face of a box, so the surface area is the sum of all 6 face areas, written in square units. A net unfolds a box into flat faces. Surface area is the sum of the areas of all the faces.

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 box is 5 cm long, 3 cm wide, and 2 cm tall. Find its surface area.

    Show your work

    Hint Find each pair: 2 × (5 × 3), 2 × (5 × 2), 2 × (3 × 2). Then add.

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

    A box is 6 ft long, 5 ft wide, and 3 ft tall. Find its surface area.

    Show your work

    Hint Find the area of each pair of faces. Then add.

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

    A gift box is 10 in long, 10 in wide, and 3 in tall. How much wrapping paper covers it with no overlap?

    Show your work

    Hint The paper covers all 6 faces. The top and bottom are squares.

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

    A box with no lid is 6 in long, 4 in wide, and 5 in tall. How much cardboard makes the box?

    Show your work

    Hint A box with no lid has only 5 faces. The bottom has no matching top.

    Final answer:

Explain your thinkingWhy does the net of a box have 3 pairs of matching faces? Use Jin's mistake to explain.

Sentence starter Each face has a matching face because ___. · Jin's answer is too small because ___.

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