We can see here that the area of the shaded face is 15cm².
To find the area of the shaded face of the cuboid, let's first use the given information about the volume of the cuboid to find the dimensions of the cuboid.
The formula for the volume of a cuboid is given by: Volume = length × width × height
Here, the volume of the cuboid is given as 90 cubic units.
Given the height of the cuboid is 6 cm, and the volume is 90 cubic units, we can rearrange the formula to solve for the area of the base (shaded face) of the cuboid.
Let the length of the cuboid be l and the width be w
Given:
Volume = length × width × height = l × w × 6 = 90
Thus, l × w = 90/6 = 15cm²
Note: l × w = area = 15cm².