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3 What is the surface area of the shoe box with the dimensions shown in the diagram? Use a net.

May 1, 2020

#1
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We can solve this problem by listing out the box's individual sides. There are 6 of them here.

Keep in mind that opposite sides have the same areas :D

There's one side, the side measuring 5 in. by 4 in. = 20 square inches. As there are two of those, they amount to a total of 40 square inches.

Then there's a lengthy rectangular side, measuring 12 in. by 4 in. = 48 square inches. Once again, there are two, so those two sides have 96 square inches total.

Then there's the bottom side, measuring 12 in. by 5 in. = 60 square inches. As the top and bottom are identical, those amount to 120 square inches total.

So, the total surface area of the shoebox will be 40 + 96 + 120 = 256 square inches :D

May 1, 2020

#1
+1

We can solve this problem by listing out the box's individual sides. There are 6 of them here.

Keep in mind that opposite sides have the same areas :D

There's one side, the side measuring 5 in. by 4 in. = 20 square inches. As there are two of those, they amount to a total of 40 square inches.

Then there's a lengthy rectangular side, measuring 12 in. by 4 in. = 48 square inches. Once again, there are two, so those two sides have 96 square inches total.

Then there's the bottom side, measuring 12 in. by 5 in. = 60 square inches. As the top and bottom are identical, those amount to 120 square inches total.

So, the total surface area of the shoebox will be 40 + 96 + 120 = 256 square inches :D

CentsLord May 1, 2020
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THX, CentsLord....excellent    !!!   CPhill  May 1, 2020
#3
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Thank you!

CentsLord  May 1, 2020