High School

If I want to cover a cushion that is 50 cm on one side, 46.5 cm on the other, and 13 cm high, how many meters of fabric do I need?

Answer :

Final answer:

You calculate the amount of fabric, in meters, required to cover a cushion by determining the surface area of the rectangular prism representing the cushion. Use the measurements given, converting to meters, and perform the calculations as detailed above to get your answer.

Explanation:

To calculate the amount of fabric needed to cover the cushion, you need to find the surface area of the rectangular prism representing the cushion. This can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

So, substituting the given values:

2 * (50/100 m * 46.5/100 m) + 2 * (50/100 m * 13/100 m) + 2 * (46.5/100 m * 13/100 m)

The result will give you the total surface area needed in square meters. Please be aware that these calculations will create a small margin of error if you are making the cushion cover, as you will need to allow for seams and an overlap.

Learn more about Surface Area

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