The volume of a cuboid is given in terms of length, width, and height by ...
... V = LWH
Filling in the given numbers, we can solve for the height.
... 8100 in³ = (30 in)(15 in)H
Dividing by the coefficient of H, we have ...
... (8100 in³)/(450 in²) = H = 18 in
The chest will be 18 inches tall.
The dimensions of the outer rectangle are
Width = x + 6x + x = 8x
Length = x + 9x + x = 11x
The area is
A1 = (8x)*(11x) = 88x²
The dimensions of the inner rectangle are
Width = 6x
Length = 9x
The area is
A2 = (6x)*(9x) = 54x²
The shaded area is the difference between the outer and inner rectangles.
Therefore the shaded area is
A = A1 - A2 = 88x² - 54x² = 34x²
Answer: 34x²
This question makes no sense! Common core, amirite
-7 is the answer ihope i heped