Question

chapter 9 test.
2/4/26, 10:30 am

1. a swimming pool has a volume of 43,130 cubic feet. how many gallons of water does the pool hold?

the pool holds approximately \boxed{} (1) of water.
(round to the nearest whole number as needed.)
(1) \bigcirc gallons$^2$
\bigcirc gallons$^3$
\bigcirc gallons

1. act desmos calculator

act desmos calculator$^1$
\bigcirc a. click here to earn a point.
2 pints (pt) = 1 quart (qt)
4 quarts = 1 gallon (gal)
1 gallon = 128 ounces (oz)
1 cup (c) = 8 ounces
volume in cubic units capacity
1 cubic yard about 200 gallons
1 cubic foot about 7.48 gallons
231 cubic inches about 1 gallon

Explanation:

Step1: Identify the conversion factor

From the table, we know that 1 cubic foot is approximately equal to 7.48 gallons. So the conversion factor is 7.48 gallons per cubic foot.

Step2: Calculate the number of gallons

The volume of the pool is 43,130 cubic feet. To find the number of gallons, we multiply the volume in cubic feet by the conversion factor.
So, the number of gallons = \( 43130 \times 7.48 \)
First, calculate \( 43130 \times 7.48 \):
\( 43130 \times 7.48 = 43130 \times (7 + 0.4 + 0.08) = 43130 \times 7 + 43130 \times 0.4 + 43130 \times 0.08 \)
\( 43130 \times 7 = 301910 \)
\( 43130 \times 0.4 = 17252 \)
\( 43130 \times 0.08 = 3450.4 \)
Now, add these results together: \( 301910 + 17252 + 3450.4 = 322612.4 \)

Step3: Choose the correct unit

Gallons is a unit of volume, and when we convert cubic feet (a unit of volume) to gallons (also a unit of volume), the unit should be gallons (not gallons squared or cubed, as those would be incorrect for volume in this context).

Answer:

The pool holds approximately 322612 gallons of water. And the correct unit is gallons. So the answer for the unit is: (1) gallons