Question

taylor bought a generator that will run for 2 hours on a liter of gas. if the tank is a rectangular prism with dimensions 20cm by 15cm by 10cm what will it run on a full tank of gas?(1 liter=1000 cubic cm)

Answer 1

First, lets find the volume of the tank. Since the tank has a shape of a rectangular prism, then the volume is:

$\begin{gathered} V=l\cdot w\cdot h \\ l=20 \\ w=15 \\ h=10 \\ \Rightarrow V=(20)(15)(10)=3000 \\ V=3000\operatorname{cm}^3 \end{gathered}$

we have that the volume of the tank is 3000 cm^3. Since the generator will run 2 hours on a liter of gas, then:

$\begin{gathered} 3000\operatorname{cm}^3=3\text{ liters} \\ \Rightarrow(3\text{ liters)(2 hours) = 6 hours} \end{gathered}$

therefore, the generator will run for 6 hours