Question

A box has a volume of 10 gallons [gal]. If two sides of the box measure 2.4 meters [m] by 2.4 feet [ft], what is the length of the third side of the box in units of inches [in]?

Answer 1

Given : Volume of the box = 10 gallons [gal].

One side of the box = 2.4 meters [m]

Another side of the box = 2.4 feet [ft].

To find : Length of third side in inches.

Soltution: We have to find the length of third side in inches.

So, we need convert all units in inches first.

1 gallon = 231 in^3.

Therefore, Volume = 10 gallons= 10* 231 = 2310 in^3.

1 meter = 39.3701 inches.

Therefore, one side of the box = 2.4 * 39.3701 = 94.48824 inches.

1 foot = 12 inches

Therefore, another side of the box = 2.4 feet = 12 * 2.4 = 28.8 inches.

We know formula for Volume of the box is given by

V = first side × second side × Third side

Plugging values in above formula.

2310 = 94.48824 × 28.8 × Third side.

On multiplying 94.48824 × 28.8 , we get

2310 = 2721.261312 × Third side.

Dividing both sides by 2721.261312, we get

`(2310)/(2721.261312) =(2721.261312 *  Third \ side)/(2721.261312)`

Third side ≈ 0.85 (approximately)