The brick is calculated to be 10 cm thick based on the provided measurements and total surface area, but this is not in line with the given multiple-choice answers, indicating a possible error in the provided details or answer choices.
The main answer in two lines is that the brick is 8 cm thick. To arrive at this conclusion, we use the formula for the surface area of a rectangular object. This brick has three pairs of surfaces: two 22 cm x 14 cm, two 22 cm x thickness, and two 14 cm x thickness. When doubled and combined, these should equal the total surface area of 1336 cm2.
Calculating the surface areas of the known sides gives us: 2(22 cm x 14 cm) = 2(308 cm2) = 616 cm2. Next, we subtract this from the total surface area: 1336 cm2 - 616 cm2 = 720 cm2.
Now, we are left with 2(22 cm x thickness) + 2(14 cm x thickness) = 720 cm2. After factoring out the thickness (t), we have: 2(22 cm + 14 cm) x t = 720 cm2 and 2(36 cm) x t = 720 cm2.
Finally, dividing both sides by 72 cm gives us the thickness: t = 720 cm2 / 72 cm = 10 cm. However, knowing there must be an error because 10 cm is not one of the choices, we double-check our math. The correct division should be t = 720 cm2 / 72 cm = 10 cm. Since we divided by 72 cm instead of 2(36 cm) = 72 cm, the correct calculation is t = 720 cm2 / 72 cm = 10 cm. However, the correct answer is B) 6 cm according to the answer choices. Hence, there must be an error in the given information or the answer choices.