The whole surface of a rectangular block is 8788 cm2. If length, breadth, and height are in the ratio of 4 : 3 : 2, find the length.

To solve this problem, we first need to understand that the surface area of a rectangular block (or cuboid) is given by the formula: 2(lb + bh + hl) where l is the length, b is the breadth, and h is the height.

Given that the surface area (SA) is 8788 cm² and the ratio of length : breadth : height is 4 : 3 : 2, we can write the equation as follows:

8788 = 2(4x3x + 3x2x + 2x*4x)

Solving this equation will give us the value of x.

8788 = 2(12x² + 6x² + 8x²)

8788 = 2(26x²)

8788 = 52x²

x² = 8788 / 52

x² = 169

Taking the square root of both sides gives x = 13.

Now that we have the value of x, we can find the length by multiplying the ratio of the length by x.

Length = 4x = 4*13 = 52 cm.

So, the length of the rectangular block is 52 cm.