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

Lesson 5.6Reading Nets and Solids

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can find the surface area of a solid by using its net.

Remember5.6 · Part II

Representing 3D Solids with Nets

  1. A net is a 2D flat pattern that folds into a 3D solid without overlapping
  2. Rectangular prism net has 6 rectangular faces in 3 congruent opposite pairs
  3. Surface Area is the total sum of the areas of all flat faces on the net

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.
    bottomfrontbacktopleftright5 cm1 cm2 cm

    A box is 5 cm long, 2 cm wide, and 1 cm tall. Find its surface area.

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

    A box is 9 in long, 6 in wide, and 4 in tall. Find its surface area.

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

    A cube-shaped box needs 216 square inches of paper to cover it with no overlap. How long is each edge?

    Show your work
    Final answer:
  4. 4Complete 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
    Final answer:
  5. 5Complete 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:
  6. 6Complete 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:
  7. 7Circle the letter of the best answer. Show how you know.

    A time capsule box is a rectangular prism with l = 6 in, w = 4 in, h = 2 in. What is its surface area?

    1. A44 in²
    2. B48 in²
    3. C88 in²
    4. D88 in³
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
  8. 8Circle the letter of the best answer. Show how you know.

    How many faces does a rectangular prism have?

    1. A4
    2. B6
    3. C8
    4. D12
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Surface area is measured in which type of unit?

    1. ACubic units (in³, cm³, ft³)
    2. BSquare units (in², cm², ft²)
    3. CLinear units (in, cm, ft)
    4. DNo units needed
    Show your work
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