Determine the cardboard surface area (in cm2) required to construct a container measuring 25 cm * 15 cm * 8 cm__________?
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Answer: A. 1390 cm2
Explanation
Applying the rectangular box surface area formula multiplies the sum of length times breadth, breadth times height, and height times length by two. Calculating these products gives 375, 120, and 200, which sum to 695 square centimeters. Multiplying 695 by two yields the total required cardboard surface area of 1390 square centimeters. A rectangular cuboid has six rectangular faces grouped into three identical pairs of opposite sides. The total surface area formula for a box is twice the sum of length times breadth, breadth times height, and height times length. Surface area calculations determine the exact area of flat material needed to enclose a three-dimensional space.
Option B represents only the semi-total sum of face areas before multiplying by the factor of two. Option C underestimates the total surface area due to computational errors in multiplying box dimensions. Option D results from an incorrect arithmetic addition of the individual rectangular face areas.
- Subject
- Mathematics
- Category
- Mathematics
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- —
- Difficulty
- medium
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