The area of the shaded region is 15 square cm.
The space occupied by a flat shape or the surface of an object is called area.
[tex]Area = lb[/tex]
Where,
l is the length of the rectangle.
b is the breadth of the rectangle.
A volume is simply defined as the amount of space occupied by any three-dimensional solid.
volume = length × breadth × height
According to the given question.
We have,
Height of the cuboid = 6cm
Volume of the cuboid = 90 cubic cm.
⇒ length × breadth × height = 90
⇒ length × breadth × 6 = 90
⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]
⇒ length × breadth = 15 square cm....(i)
Since, the area of shaded region = length × breadth
From (i)
Length × breadth = 15 square cm .
Hence, the area of the shaded region is 15 square cm.
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