The surface area of a rectangular prism can be found using the formula

SA = 2lw + 2wh + 2lh.
The volume of a rectangular prism can be found using the formula V = lwh.
You are packing your fish tank to move, but need to calculate the surface area and volume to choose an appropriate length, width, and height for your package so that it can fit the fish tank you are shipping.
Fish Tank Dimensions: 16 in x 8 in x 10 in
Step 1: Find the Surface Area =
Step 2: Find the Volume =
Step 3: What are appropriate dimensions for the package?

1 answer

Step 1: Surface Area
SA = 2(16)(8) + 2(8)(10) + 2(16)(10)
SA = 256 + 160 + 320
SA = 736 square inches

Step 2: Volume
V = 16 x 8 x 10
V = 1280 cubic inches

Step 3: Appropriate dimensions for the package would need to have a surface area at least equal to 736 square inches and a volume equal to or larger than 1280 cubic inches. A possible option could be a package with dimensions of 18 in x 10 in x 12 in, which would have a surface area of 816 square inches and a volume of 2160 cubic inches.
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