The school will build a classroom, 9 meters long and 6 meters wide. In order to lay the foundation of the wall, it is necessary to dig a ditch with a width of 0.5 meters and a depth of 0.5 meters. How

The school will build a classroom, 9 meters long and 6 meters wide. In order to lay the foundation of the wall, it is necessary to dig a ditch with a width of 0.5 meters and a depth of 0.5 meters. How many cubic meters of soil will you dig? Analysis:

As shown in the figure, this figure can be decomposed into two cubes, with a length of (0.5+0.5+9= 10 m), a width of 0.5 m and a height of 0.5 m; And two cubes 6 meters long, 0.5 meters wide and 0.5 meters high. The sum of these volumes is the cubic meter of soil to be excavated.

Solution:

(0.5+0.5+9) * 0.5 * 0.5 * 2+6 * 0.5 * 0.5 * 2 = 5+3 = 8 (cubic meter)

A: A total of 8 cubic meters of soil needs to be dug.