Answer:
A cuboid is a 3-dimensional shape with six rectangular faces, four of which are the sides or lateral faces, and the other two are the base and the top. To solve the problem, we can first find the perimeter of the base of the cuboid by dividing the lateral surface area by the height. In this case, the perimeter of the base is 26 cm.
To find the dimensions of the base, we can set up an equation using the given information. Let x be one of the sides of the base, and let y be the other side. Since one of the sides is 3 cm smaller than the other, we can write the equation as:
x + x - 3 + x + x - 3 = 26 cm
We can simplify the equation by combining like terms:
4x - 6 = 26 cm
Next, we can solve the equation by adding 6 to both sides and then dividing by 4:
4x = 32 cm
x = 8 cm
Therefore, the dimensions of the base of the cuboid are 8 cm x 11 cm (since one side is 3 cm smaller than the other). The perimeter of the base is 26 cm, and the height of the cuboid is 10 cm.
Explanation: