points)
You arrive home to find that your 55 foot by 20 foot basement has 6 inches of water in it.
a) If 1 cubic foot of water is about 7.48 gallons, how much water will you be pumping out of your basement?
Express your answer rounded to the nearest tenth of a gallon.
55*20*0.5 = 550 ft^3
Now multiply by 7.48gal/ft^3
To find the volume of water in your basement, you need to calculate the volume of a rectangular box. The formula for the volume of a rectangular box is given by:
Volume = Length x Width x Height
Here, the length of your basement is 55 feet, the width is 20 feet, and the height is 6 inches. However, you need to convert the height to feet because the length and width are also in feet. Since there are 12 inches in a foot, the height in feet would be 6 / 12 = 0.5 feet.
Using the formula for volume, we have:
Volume = 55 ft x 20 ft x 0.5 ft
= 550 ft³
Now, to find the amount of water you will be pumping out, you can multiply the volume in cubic feet by the conversion factor of 7.48 gallons per cubic foot.
Amount of water = Volume x Conversion factor
= 550 ft³ x 7.48 gallons/ft³
≈ 4106.8 gallons
Therefore, you will be pumping out approximately 4106.8 gallons of water from your basement. Rounded to the nearest tenth of a gallon, the answer is 4106.8 gallons.