Polyhedra and Prisms

Examples and applications for Polyhedra and Prisms, focusing on the calculation of volume and surface area for standard 3D shapes.

Mathematical Examples: Cube

Example 1: Basic Cube Volume and Surface Area

Find the volume and total surface area of a cube with a side length of 5 m5\text{ m}.

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Example 2: Intermediate Cube Dimension Extraction

If the total surface area of a cube is 294 cm2294\text{ cm}^2, determine its volume.

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Example 3: Advanced Cube Scaling

A structural engineer needs to double the side length of an existing concrete cube foundation block. How many times larger will the new volume and surface area be compared to the original?

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