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How many cubic feet of warehouse space are needed for 280 boxes measuring 15 inches by 9 inches by 8 inches?

(Type an integer or decimal rounded to the nearest tenth as needed.)

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How many cubic meters of water are needed to fill a swimming pool that approximates the shape shown in the figure?

(Use 1 m³ = 748 gallons.)

Round to the nearest whole number.

Answer :

Total volume of boxes = (15/12) x (9/12) x (8/12) cubic feet x 280. we can solve this equation to find the total volume of warehouse space needed.

To find the amount of warehouse space needed for 280 boxes, we need to calculate the volume of each box and then multiply it by the total number of boxes.

The dimensions of each box are given as 15 inches by 9 inches by 8 inches. To calculate the volume, we multiply these three dimensions together:

Volume of each box = 15 inches x 9 inches x 8 inches

We can convert inches to feet by dividing each dimension by 12 (since there are 12 inches in a foot):

Volume of each box = (15 inches / 12 feet) x (9 inches / 12 feet) x (8 inches / 12 feet)

Simplifying this expression, we get:

Volume of each box = (15/12) x (9/12) x (8/12) cubic feet

Now we can calculate the volume of one box in cubic feet.

To find the total volume of all the boxes, we multiply the volume of one box by the total number of boxes:

Total volume of boxes = Volume of each box x Total number of boxes

Substituting the given values, we have:

Total volume of boxes = (15/12) x (9/12) x (8/12) cubic feet x 280

Now we can solve this equation to find the total volume of warehouse space needed.

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