The breadth of the cuboid with a total surface area of 236 cm², a length of 8 cm, and a height of 6 cm is found to be 5 cm.
The question requires us to find the breadth of a cuboid with a given total surface area, length, and height. The total surface area (SA) of a cuboid is given by the formula SA = 2(lb + lh + bh), where l is length, b is breadth and h is height. Given that SA = 236 cm², l = 8 cm, and h = 6 cm, we can set up the following equation to solve for the breadth (b):
236 = 2(8b + 8×6 + 6b)
Simplify the equation:
236 = 2(8b + 48 + 6b)
236 = 16b + 96 + 12b
236 = 28b + 96
Subtract 96 from both sides:
140 = 28b
Divide both sides by 28:
b = 5
Therefore, the breadth of the cuboid is 5 cm.