Answer:
The number of cubic feet of water needed to fill the tank is [tex]216 \mathrm{ft}^{3}$[/tex]
The number of cubic yards of water needed to fill the tank is [tex]8 \mathrm{yd}^{3}[/tex]
Step-by-step explanation:
Given
A tank is in the shape of a cube with edge lengths of 6 feet.
Step 1 of 2
The volume of a cube with edge length [tex]$e$[/tex] is given by:
[tex]V=e^{3}[/tex]
Given that [tex]$e=6 \mathrm{ft}$[/tex], the number of cubic feet of water needed to fill the tank is:
[tex]V=6^{3}[/tex]
[tex]V=216 \mathrm{ft}^{3}[/tex]
Step 2 of 2
The number of cubic yards of water needed to fill the tank is
[tex]V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}[/tex]
[tex]=8 \mathrm{yd}^{3}[/tex]
Learn more about volume, refer :
https://brainly.com/question/898827
