Final answer:
To find the value of x in a cuboid with given dimensions, we can use the formula for the total surface area of a cuboid and solve the equation.
Step-by-step explanation:
To find the value of x in a cuboid, we first need to determine the dimensions of the cuboid. Given that b = 10 and depth = 2, we can use the formula for the total surface area of a cuboid:
SA = 2(ab + ac + bc)
Since the total surface area is 112, we can substitute the given values:
112 = 2(10x + 10(2) + x(2))
Simplifying the equation gives us:
112 = 2(10x + 20 + 2x)
112 = 20x + 40 + 4x
112 = 24x + 40
Subtracting 40 from both sides gives us:
72 = 24x
Dividing both sides by 24 gives us:
x = 3
Therefore, the value of x in the cuboid is 3.