## OGQR 2020: Question No. 96

When a rectangular vat that is 3 feet deep is filled to (2/3) of its capacity, it contains 60 gallons of water. If 7 1/2 gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the vat?

Source | OGQR 2020 |

Type | Problem Solving |

Topic | Geometry |

Sub-Topic | Rectangular Solids |

Difficulty | Medium |

### Solution

__Given__

__Given__

In this question, we are given

- When a rectangular vat that is 3 feet deep is filled to 2/3 of its capacity, it contains 60 gallons of water.
- 7 1/2gallons of water occupies 1 cubic foot of space.

__To Find__

__To Find__

We need to determine

- The area, in square feet, of the base of the vat.

__Approach & Working__

__Approach & Working__

When the vat is filled to of its capacity, it contains 60 gallons of water.

- Hence, the capacity of the vat = 60 * 3/2 = 90 gallons
- The space occupied, when the vat is fully filled = 90/7.5 = 12 cubic feet

If the area of the base is n, then we can say

- Area of the base * height = volume (or space occupied)

Or, n * 3 = 12

Or, n = 4

Hence, the correct answer is option A.

Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don’t you

try out our FREE Trial?We are themost reviewed online GMAT Preparation company in GMATClubwith more than 1970 reviews as of December 2020.