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Lesson 14: Surface Area of Right Prisms
Cool Down: Surface Area of a Hexagonal Prism
Find the surface area of this prism. Show
your reasoning. Organize it so it can be
followed by others.
3 cm
3 cm
3 cm
9 cm
6 cm
6 cm

Lesson 14 Surface Area Of Right PrismsCool Down Surface Area Of A Hexagonal PrismFind The Surface Area Of This Prism Showyour Reasoning Organize It So It Can Be class=

Sagot :

Heather

Answer: 324 cm²

Step-by-step explanation:

    To find the surface area of this prism, we can break it up into two different rectangular prisms. Then, the surface area of a rectangular prism can be found with SA = 2lw + 2wh + 2lh.

    We will have a 3 cm x 9 cm x 4 cm and a 3 cm x 3 cm x 9 cm prism. See the attached image for a visual of how I broke it up.

    SA = [2lw + 2wh + 2lh] + [2lw + 2wh + 2lh]

    SA = [2(6 cm)(3 cm) + 2(3 cm)(9 cm) + 2(6 cm)(9 cm)] + [2(3 cm)(3 cm) + 2(3 cm)(9 cm) + 2(3 cm)(9 cm)]

    SA = [36 cm² + 54 cm² + 108 cm²] + [18 cm² + 54 cm² + 54 cm²]

    SA = [198 cm²] + [126 cm²]

    SA = 324 cm²

View image Heather
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