The surface area of a (10cm x 4cm x3cm) brick is__________?
Correct answer: C. 164 Sq.cm
- A. 84 Sq.cm
- B. 124 Sq.cm
- C. 164 Sq.cm
- D. 180 Sq.cm
Explanation
A cuboid's total surface area is 2(lb + bd + lh). Substituting 10 cm, 4 cm and 3 cm gives 2[(10 cm × 4 cm) + (4 cm × 3 cm) + (10 cm × 3 cm)] = 2(40 cm2 + 12 cm2 + 30 cm2) = 164 cm2. The likely wrong choice is 124 cm2, which results from omitting one pair of faces.
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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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