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Valeria is filling her new fish tank with water. The tank measures 36 inches by 13 inches by 24 inches. She has a 3-gallon bucket that she can fill at the sink and then pour into the tank. What is the minimum number of times Valeria needs to fill (or partially fill) the 3-gallon bucket in order to completely fill her fish tank?

(Hint: There are 231 cubic inches in a gallon.)

1. 17
2. 9
3. 12
4. 1

Answer :

To completely fill her fish tank, which has a volume of 11,232 cubic inches, Valeria needs to fill a 3-gallon bucket at least 17 times because the tank holds approximately 48.6 gallons of water.

To determine the minimum number of times Valeria needs to fill the 3-gallon bucket to completely fill her fish tank, we first need to calculate the volume of her fish tank. The tank's dimensions are 36 inches by 13 inches by 24 inches. Multiplying these dimensions gives us the volume of the tank in cubic inches:

Calculate the tank volume: 36 * 13 * 24 in = 11,232 cubic inches.

Convert cubic inches to gallons: Since there are 231 cubic inches in a gallon, we divide the volume of the tank by 231 to find out how many gallons of water the tank can hold. 11,232 cubic inches / 231 cubic inches/gallon = 48.6 gallons. Valeria's tank can hold approximately 48.6 gallons of water.

Determine the number of bucket fills: Because Valeria is using a 3-gallon bucket, we divide the total gallons needed by 3 gallons. 48.6 gallons / 3 gallons/bucket = 16.2, meaning Valeria needs to fill her bucket 16.2 times. Since she can't fill a bucket partially 0.2 times, she needs to do it at least 17 times to get the full volume required.

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