Task 1:

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: Find the Surface Area
SA = 2(16)(8) + 2(8)(10) + 2(16)(10)
SA = 32 + 160 + 320
SA = 512 square inches

Step 2: Find the Volume
V = 16(8)(10)
V = 1280 cubic inches

Step 3: Appropriate dimensions for the package would need to have a surface area greater than or equal to 512 square inches and a volume greater than or equal to 1280 cubic inches. One possible option could be a package with dimensions of 20 in x 10 in x 8 in, which would have a surface area of 520 square inches and a volume of 1600 cubic inches.
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