Use units to help you answer the question. If necessary, round your answer to two decimal places.
-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?
A) Shower uses an additional $6.96 \mathrm { ft } ^ { 3 }$ of water
B) Bath uses an additional $6.96 \mathrm { ft } ^ { 3 }$ of water
C) Bath uses an additional $3.44 \mathrm { ft } ^ { 3 }$ of water
D) Shower uses an additional $3.44 \mathrm { ft } ^ { 3 }$ of water

Question

Use units to help you answer the question. If necessary, round your answer to two decimal places.
-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? 
A) Shower uses an additional $6.96 \mathrm { ft } ^ { 3 }$ of water
B) Bath uses an additional $6.96 \mathrm { ft } ^ { 3 }$ of water
C) Bath uses an additional $3.44 \mathrm { ft } ^ { 3 }$ of water
D) Shower uses an additional $3.44 \mathrm { ft } ^ { 3 }$ of water

Quizplus · Accepted Answer

First, convert the volume of the bathtub from cubic yards to cubic feet using the conversion factor $1 \mathrm{yd}^3 = 27 \mathrm{ft}^3$. So, $0.4 \mathrm{yd}^3 = 0.4 \times 27 = 10.8 \mathrm{ft}^3$. The volume of water used in a 12-minute shower is $0.32 \mathrm{ft}^3/\mathrm{min} \times 12 \mathrm{min} = 3.84 \mathrm{ft}^3$. The difference is $10.8 \mathrm{ft}^3 - 3.84 \mathrm{ft}^3 = 6.96 \mathrm{ft}^3$, indicating the bath uses an additional $6.96 \mathrm{ft}^3$ of water.

Use Units to Help You Answer the Question 6.96ft36.96 \mathrm { ft } ^ { 3 }6.96ft3

Use Units to Help You Answer the Question $6.96 \mathrm { ft } ^ { 3 }$