# 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

Jun 26, 2018

$\text{C. 118}$

#### Explanation:

Given

• $\text{l = 6}$
• $\text{b = 8}$
• $\text{h = 10}$

Sum of surface areas of two opposite faces

• $\text{lb + lb = (6 × 8) + (6 × 8) = 96}$
• $\text{bh + bh = (8 × 10) + (8 × 10) = 160}$
• $\text{lh + lh = (6 × 10) + (6 × 10) = 120}$

Sum of surface areas of two adjacent faces

• $\text{lb + lh = (6 × 8) + (6 × 10) = 108}$
• $\text{lb + bh = (6 × 8) + (8 × 10) = 128}$
• $\text{bh + lh = (8 × 10) + (6 × 10) = 140}$

$\text{118}$ is missing in both the cases.