Question

What is the total surface area, in square inches, of the rectangular box shown below, given the values for x, y, and z?

Assume x = 12, y = 5, and z = 7.
A.
420 in2
B.
358 in2
C.
508 in2
D.
58 in2

Answer 1

To find the total surface area of the rectangular box, we need to calculate the area of each of the six sides and then add them together.

The formula for the surface area of a rectangular box is:
2lw + 2lh + 2wh

Given x = 12, y = 5, and z = 7:
- The area of the top and bottom sides (l x w): 12 x 5 = 60 inches^2
- The area of the front and back sides (l x h): 12 x 7 = 84 inches^2
- The area of the left and right sides (w x h): 5 x 7 = 35 inches^2

Now add them all up:
2(60) + 2(84) + 2(35) = 120 + 168 + 70 = 358 inches^2

Therefore, the total surface area of the rectangular box is 358 inches^2, which means the correct answer is B. 358 in2