Answer:
![14040\text{ inch}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/l33pjerr19csjd5mqxm11nmzxs091dfqsw.png)
Explanation:
GIVEN: You are designing a large rectangular fish tank for your tropical fish. The length will be
, the width will be
, and the height will be
.
TO FIND: Find the volume of the fish tank in cubic inches.
SOLUTION:
We know that,
![1\text{ yard}=3\text{ feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/miz8u7hlauf92axu255hzu0uzsp14kq10a.png)
![1\text{ feet}=12\text{ inch}](https://img.qammunity.org/2021/formulas/mathematics/high-school/x37u5a8s3d9slh0sb614nar1vhf7dtf71g.png)
length of fish tank
![=1\text{ yard } 3\text{ inches}](https://img.qammunity.org/2021/formulas/mathematics/high-school/sb1juwoqyt35mqcrw7ffd33cpjugic18rz.png)
![=39\text{ inch}](https://img.qammunity.org/2021/formulas/mathematics/high-school/xjz88l0zdalmmu7u81e7lc7eutkjh1hh14.png)
width of fish tank
![=1.5\text{ feet}](https://img.qammunity.org/2021/formulas/mathematics/high-school/irqi6odmdo7tp62fmori5avwezfiupmnlk.png)
![=18\text{ inch}](https://img.qammunity.org/2021/formulas/mathematics/high-school/bkl5pyspkzxd0o3u1bpibrhfh7auibkp95.png)
height of fish tank
![=20\text{ inch}](https://img.qammunity.org/2021/formulas/mathematics/high-school/i7y9gwzjo3igv2ul34cpy5ufjbrsyar1qk.png)
now, volume of fish tank
![=\text{length}*\text{width}*\text{height}](https://img.qammunity.org/2021/formulas/mathematics/high-school/eim36k72r2gksnaxx6quaixurije9d4q9z.png)
![=39*18*20](https://img.qammunity.org/2021/formulas/mathematics/high-school/bhe20eceesj2ejxldx8l5e9f954udwh46y.png)
![=14040\text{ inch}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/ls2iw4i4sufb1q86hrc9087mvda4x0lt0m.png)
Hence the volume of fish tank is
![14040\text{ inch}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/l33pjerr19csjd5mqxm11nmzxs091dfqsw.png)