Suppose water flows from a shower at a rate of 0.38 cubic feet per minute. Do you use more water by taking a 14-minute shower or by filling a bathtub with 0.6 cub yards of water, and by how much? Demonstrate strep-by-step solution.
0.6 cubic yd x (27 ft^3/yd^3) = 16.2 ft^3.
0.38 ft^3/min x 14 min = ? and compare with the above.
Bathtub consumes more water, by 10.88 ft^3
To compare the amount of water used in a 14-minute shower versus filling a bathtub with 0.6 cubic yards of water, we need to convert the units of measurement so that they are consistent.
1 cubic foot (ft³) is equal to 0.037037 cubic yards (yd³).
1 cubic yard (yd³) is equal to 27 cubic feet (ft³).
Now, let's calculate the amount of water used in a 14-minute shower:
The rate of water flow is given as 0.38 cubic feet per minute.
So, for a 14-minute shower, the total water used would be:
0.38 ft³/minute × 14 minutes = 5.32 ft³
Now, let's calculate the amount of water needed to fill the bathtub:
The volume of water needed is given as 0.6 cubic yards.
So, to convert it to cubic feet:
0.6 yd³ × 27 ft³/yd³ = 16.2 ft³
Therefore, a 14-minute shower uses 5.32 cubic feet of water, while filling the bathtub requires 16.2 cubic feet of water.
To find the difference in the amount of water used, we subtract the water used for the shower from the water needed to fill the bathtub:
16.2 ft³ (bathtub) - 5.32 ft³ (shower) = 10.88 ft³
Therefore, filling the bathtub with 0.6 cubic yards of water requires approximately 10.88 cubic feet more water than taking a 14-minute shower.