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

Lesson 5.7Surface Area of Triangular Prisms

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

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Learning target I can find the surface area of rectangular and triangular prisms.

Remember5.7 · Part II

Surface Area of Prisms

  1. Calculate area of Top & Bottom: 2 × (l · w)
  2. Calculate area of Front & Back: 2 × (l · h)
  3. Calculate area of Left & Right: 2 × (w · h), then sum all three pairs

Words: Surface area (Área de superficie)Rectangular prism (Prisma rectangular)Triangular prism (Prisma triangular)Face (Cara)Net (Plantilla (desarrollo plano))

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

    A rectangular prism is 4 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.
    10 cm8 cm15 cm17 cm

    A triangular prism is 10 cm long. Its triangle ends have sides of 8 cm, 15 cm and 17 cm. The 8 cm and 15 cm sides meet at a square corner. Find the surface area.

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

    Dev finds the surface area of a box 6 in by 4 in by 3 in with a shortcut: (6 + 4 + 6 + 4) × 3 = 60. He stops there. What is the real surface area?

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

    A doorstop is a triangular prism 5 cm long. Its triangle ends have sides of 9 cm, 12 cm and 15 cm. The 9 cm and 12 cm sides meet at a square corner. How much paint covers it?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.

    A candle box is a triangular prism 10 cm long. Each end is a triangle with three 4 cm sides and a height of 3.5 cm. How much cardboard makes the box?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.

    A triangular prism has triangle ends with a base of 10 cm and a height of 12 cm. The slanted sides are 13 cm. Its surface area is 480 square centimeters. How long is the prism?

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

    A time capsule is a rectangular prism with l = 5 cm, w = 4 cm, h = 3 cm. What surface area needs paint?

    1. A47 cm²
    2. B60 cm²
    3. C94 cm²
    4. D94 cm³
    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 triangular prism have?

    1. A3
    2. B4
    3. C5
    4. D6
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    A wedge-shaped time capsule is a triangular prism. It has two triangular bases each with area 12 cm² and three rectangular faces with areas 30 cm², 40 cm², and 40 cm². What is the total surface area to paint?

    1. A110 cm²
    2. B122 cm²
    3. C134 cm²
    4. D134 cm³
    Formula
    Put the numbers in
    Work it out
    Answer with its unit
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