Question

1. diegos go - cart has a gas tank with the dimensions shown below. volume of the gas tank= cubic centimeters. he uses a gas can that holds 1 liter of gas, to fill the tank. 1 liter = 1000 cubic centimeters. how many full gas cans will it take to fill the gas tank of the go - cart? cans

Explanation:

Step1: Calculate gas - tank volume

The gas tank is a rectangular prism. The volume formula for a rectangular prism is $V = l\times w\times h$, where $l = 40$ cm, $w = 25$ cm and $h = 8$ cm. So $V=40\times25\times8$.
$V = 40\times25\times8=40\times200 = 8000$ $cm^{3}$.

Step2: Calculate number of gas - cans

Since 1 gas - can holds 1000 $cm^{3}$ of gas, to find the number of gas - cans needed to fill the tank, we divide the volume of the tank by the volume of one gas - can. Let $n$ be the number of gas - cans. Then $n=\frac{V}{1000}$, where $V = 8000$ $cm^{3}$. So $n=\frac{8000}{1000}=8$.

Answer:

Volume of the gas tank = 8000 cubic centimeters
8 cans