The dimension in centimeter of rectangular box R is 6 by 8 by 10. Which of the following cannot be total surface area, in square centimeters of two faces of R? A. 96 B. 120 C. 118 D. 160

1 Answer
Junaid Mirza
Jun 26, 2018

#"C. 118"#

Explanation:

Given

  • #"l = 6"#
  • #"b = 8"#
  • #"h = 10"#

Sum of surface areas of two opposite faces

  • #"lb + lb = (6 × 8) + (6 × 8) = 96"#
  • #"bh + bh = (8 × 10) + (8 × 10) = 160"#
  • #"lh + lh = (6 × 10) + (6 × 10) = 120"#

Sum of surface areas of two adjacent faces

  • #"lb + lh = (6 × 8) + (6 × 10) = 108"#
  • #"lb + bh = (6 × 8) + (8 × 10) = 128"#
  • #"bh + lh = (8 × 10) + (6 × 10) = 140"#

#"118"# is missing in both the cases.

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