A technical machinist is asked to build a cubital steel tank that will hold 185 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.01 m

Answer 1

185 L = 185,000 mls = 185,000 cm³

Since the tank is designed to be a cube, we will use the formula for the volume of a cube:

Volume = side cubed (V = s³)

185,000 cm³ = s³

s = cube root of 185,000 cm³

s = 56.98 cm

Converting this to meters, we have

56.98 cm x 1 m / 100 cm = 0.5698 m = 0.57 m (rounded to 0.01 m)

Answer 2

Calculating the Smallest Possible Inside Length of the Cubic Steel Tank

Problem: We need to find the smallest possible inside length of a cubic steel tank that can hold 185 liters.

Steps:

1. Convert liters to cubic meters:
2. 1 liter = 0.001 cubic meters
3. 185 liters = 185 * 0.001 m³ = 0.185 m³
4. Use the volume formula for a cube:
5. V = s³
6. Where V is the volume and s is the side length.
7. Solve for s:
8. s = ∛V

Calculation:

1. s = ∛0.185 m³
2. Using a calculator, we find:
3. s ≈ 0.57 meters

Conclusion:

The smallest possible inside length of the cubic steel tank is approximately 0.57 meters.