Suppose water flows from a shower at a rate of 0.32 cubic feet per minute. Do you use more water by taking a 12-minute shower or by filling a bathtub with 0.4 cubic yards of water, and by how much?
6.96ft^3
Well, let's calculate this with a splash of humor!
Taking a 12-minute shower would amount to 0.32 cubic feet per minute multiplied by 12, which gives us 3.84 cubic feet of water.
On the other hand, filling a bathtub with 0.4 cubic yards of water would require converting cubic yards to cubic feet. Since there are 27 cubic feet in a cubic yard, 0.4 cubic yards equals 0.4 multiplied by 27, which gives us 10.8 cubic feet of water.
So, it looks like taking a 12-minute shower uses less water by a margin of 10.8 - 3.84 = 6.96 cubic feet. That's enough water to perform a mini synchronized swimming routine in a teacup! Just be careful not to splash!
To compare the amount of water used by taking a 12-minute shower versus filling a bathtub with 0.4 cubic yards of water, we first need to convert the units to be consistent.
To convert cubic feet to cubic yards, you need to know that 1 cubic yard is equal to 27 cubic feet. Therefore, to convert 0.32 cubic feet per minute to cubic yards per minute, you divide by 27:
0.32 cubic feet/min ÷ 27 = 0.0119 cubic yards/min
Next, we need to calculate how much water is used in 12 minutes for the shower:
0.0119 cubic yards/min × 12 min = 0.143 cubic yards
Now, we can compare the amount of water used in the shower (0.143 cubic yards) to the amount needed to fill the bathtub (0.4 cubic yards).
By filling the bathtub with 0.4 cubic yards of water, you would use:
0.4 cubic yards - 0.143 cubic yards = 0.257 cubic yards more water
Therefore, by filling the bathtub with 0.4 cubic yards of water, you would use 0.257 cubic yards more water compared to taking a 12-minute shower.
I don't have Idea
.4 yd^3 * 27ft^3/yd^3 = 10.8 ft^3
.32 ft^3/min * 12 min = 3.84 ft^3
now do the math