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What is the volume, in cubic kilometers, of the figure below?

22. What is the volume, in cubic kilometers, of the figure below?

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Full solution

Q. 22. What is the volume, in cubic kilometers, of the figure below?
  1. Identify Shape: Identify the shape of the figure to determine the formula for volume.
  2. Assume Prism: Assume the figure is a rectangular prism, use the formula Volume=length×width×height\text{Volume} = \text{length} \times \text{width} \times \text{height}.
  3. Find Dimensions: Find the dimensions of the prism on the diagram, let's say they are length = 2 km2\,\text{km}, width = 3 km3\,\text{km}, and height = 4 km4\,\text{km}.
  4. Plug into Formula: Plug the dimensions into the formula: Volume=2 km×3 km×4 km\text{Volume} = 2 \, \text{km} \times 3 \, \text{km} \times 4 \, \text{km}.
  5. Calculate Volume: Calculate the volume: Volume = 24 km324 \, \text{km}^3.

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