The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.
Correct answer: C. 13 cm
- A. 5 cm
- B. 19 cm
- C. 13 cm
- D. 144 cm
Explanation
The diagonal of a cuboid is √(l² + b² + h²). Thus it is √[(3 cm)² + (4 cm)² + (12 cm)²] = √(9 cm² + 16 cm² + 144 cm²) = √169 cm² = 13 cm. The likely wrong choice is 19 cm, which adds the three edge lengths instead of using the three-dimensional Pythagorean theorem.
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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
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