Suatu balok memiliki luas permukaan 188 cm. jika lebar dan tinggi balok masing masing 8 cm dan 6 cm, tentukan panjang balok tersebut?

The length is 3.3 cm.

Surface area is the sum of the areas of each face of a prism; for a beam, we are dealing with the sum of the area of 6 rectangles. Using l for length, w for width and h for height, they can be represented as:

lw + lw + wh + wh + lh + lh

Using the measurements we are given we have:

188 = l (8) + l (8) + 8 (6) + 8 (6) + l (6) + l (6)

188 = 8l + 8l + 48 + 48 + 6l + 6l

188 = 28l + 96

Subtract 96 from both sides:

188 - 96 = 28l + 96 - 96

92 = 28l

Divide both sides by 28:

92/28 = 28l/28

3.3 = l