A hexahedron possesses a surface area of 726m2; determine its volumetric capacity.
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Answer: B. 1331 m3
Explanation
A hexahedron, or cube, has six identical square faces, making each face area equal to 726 divided by six, or 121 square meters. Taking the square root of 121 gives an edge length of 11 meters for the cube. Cubing the edge length of 11 meters yields a total volumetric capacity of 1331 cubic meters. A hexahedron is a regular polyhedron with six flat square faces, commonly known as a geometric cube. The surface area of a cube is calculated as six times the square of its edge length. The volumetric capacity of a cube is found by raising its edge length to the third power.
Option A overestimates the volumetric capacity based on an incorrect edge length calculation. Option C results from an arithmetic error when cubing the edge length of the geometric hexahedron. Option D assumes an incorrect volume that fails to match the precise edge dimensions derived from the surface area.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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