Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.