A cuboid has edges of 4 cm, 5 cm, and 6 cm. Find its surface area?
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Answer: B. 148 cm2
Explanation
Total surface area of a cuboid is calculated using the sum of all adjacent face products. Multiplying pairs of edges gives 20, 30, and 24 square centimeters respectively. Adding these products together and multiplying by two yields 148 square centimeters. A cuboid has six rectangular faces grouped into three pairs of identical dimensions. Surface area formula is expressed as 2 multiplied by lb plus bh plus hl. Edge lengths for the given cuboid are 4 cm, 5 cm, and 6 cm respectively.
Surface area calculations are essential in manufacturing for estimating material usage. Packaging design requires knowing total surface area to minimize wrapping waste. Geometry principles of three-dimensional shapes apply directly in architecture and engineering. Choosing 120 cm2 forgets to multiply the summed face areas by two. Choosing 74 cm2 represents only the sum of one set of adjacent face areas. Choosing 15 cm2 is an incorrect arithmetic addition of the individual edge lengths.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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