Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Victor is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a red fabric.

How much fabric does Victor need in order to cover 12 of these blocks?


156 cm²

24 cm²

13 cm²

2 cm²

Victor Is Working On A Project And Has Cut A Number Of Wooden Blocks Of Equal Size That Are Represented By This Right Rectangular Prism He Now Needs To Cover Th class=

Sagot :

sqdancefan

Answer:

  (a)  156 cm²

Step-by-step explanation:

The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...

  A = 2(LW +H(L +W))

  A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²

The area of 12 such prisms will be ...

  12 × (13 cm²) = 156 cm²

Victor needs 156 cm² of fabric to cover 12 blocks.

_____

Additional comment

This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.