The empty gas tank of a motor boat is to be filled. The tank is shaped like a rectangular prism with length 25cm, width 24cm, and height 16cm. Suppose gas is pumped into the tank at a rate of 640cm3 per minute. How many minutes does it take to fill the empty tank?minutes
Question
The empty gas tank of a motor boat is to be filled. The tank is shaped like a rectangular prism with length 25cm, width 24cm, and height 16cm. Suppose gas is pumped into the tank at a rate of 640cm3 per minute. How many minutes does it take to fill the empty tank?minutes
Solution
To solve this problem, we first need to find the volume of the tank. The volume of a rectangular prism is given by the formula:
Volume = length * width * height
So, the volume of the tank is:
Volume = 25cm * 24cm * 16cm = 9600cm^3
Next, we need to find out how long it takes to fill the tank. We know that the pump can fill 640cm^3 per minute. So, to find out how many minutes it takes to fill the tank, we divide the volume of the tank by the rate at which the pump fills the tank:
Time = Volume / Rate
So, the time it takes to fill the tank is:
Time = 9600cm^3 / 640cm^3 per minute = 15 minutes
So, it takes 15 minutes to fill the empty tank.
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