Question

a storage tank has a capacity of 8 cubic meters. the liquid inside the tank has a weight of 6,000 kilograms. if 1 cubic meter is equal to 1,000 liters, what is the density of the liquid inside the tank in kilograms per liter?
use the keypad to enter your answer in each box.
weight of the liquid: kilograms
capacity of the tank: liters
density of the liquid: kilograms per liter

Explanation:

Step1: Determine the weight of the liquid

The weight of the liquid is directly given as \(6000\) kilograms.

Step2: Convert the capacity of the tank from cubic meters to liters

Since \(1\) cubic meter \( = 1000\) liters, for a capacity of \(8\) cubic meters, the conversion is \(8\times1000=8000\) liters.

Step3: Calculate the density of the liquid

Density formula is \(\text{Density}=\frac{\text{Mass}}{\text{Volume}}\). Here, mass \(m = 6000\) kg and volume \(V=8000\) L. So, \(\text{Density}=\frac{6000}{8000}= 0.75\) kg/L.

Answer:

Weight of the liquid: \(6000\) kilograms
Capacity of the tank: \(8000\) liters
Density of the liquid: \(0.75\) kilograms per liter