To solve this problem, we must remember that the formula for volume is V = lwh, where l represents length, w represents width, and h represents height. Since we know the respective values for length, height, and volume, we can substitute those into the formula and then solve for the width, as modeled below:
30,000 cm³ = 30 cm * w * 500 mm
We must recognize first, though, that one of the values is given in millimeters, not centimeters. To continue solving this problem, we must convert this value to centimeters, using our knowledge that 1 cm = 10mm. This means that 500 mm = 50 cm, so we can substitute this into our equation below:
30,000 cm³ = 30 cm * w * 50 cm
To begin to solve this equation, we should first multiply all of the factors together on the right side of the equation, which gives us:
30,000 cm³ = 1,500w cm²
Next, we must divide both sides of the equation by 1,500 in order to get the variable w alone on the right side of the equation.
20 cm = w
Therefore, the width of the figure shown above is 20 cm.
Hope this helps!