Canister

Gasoline is stored in a cuboid canister having dimensions 44.5 cm, 30 cm, and 16 cm. What is the total weight of a full canister when one cubic meter of gasoline weighs 710 kg, and the weight of an empty canister is 1.5 kg?

Correct answer:

m =  16.6656 kg

Step-by-step explanation:

$$\begin{gathered} a=44.5\text{cm}\to \text{m}=44.5:100\text{m}=0.445\text{m} \\ b=30\text{cm}\to \text{m}=30:100\text{m}=0.3\text{m} \\ c=16\text{cm}\to \text{m}=16:100\text{m}=0.16\text{m} \\ {V}_1=a\cdot b\cdot c=0.445\cdot 0.3\cdot 0.16\doteq 0.0214{\text{m}}^3 \\ \rho =710{\text{kg/m}}^3 \\ {m}_1=V_1\cdot \rho =0.0214\cdot 710=15.1656\text{kg} \\ m=m_1+1.5=15.1656+1.5=16.6656\text{kg} \end{gathered}$$

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