Answer:
[tex]Volume = 176ft^3[/tex]
Step-by-step explanation:
Given
[tex]Height = 8[/tex]
See attachment for base dimension
Required
Determine the volume of the storage unit
From the attachment, we can split the base dimension into two rectangles.
CDEF and ABCG
And the dimensions are:
CDEF
[tex]EF = CD = BD - BC = 5 - 2 = 3[/tex]
[tex]ED = FC = FG +AB = 4 + 2 =6[/tex]
So, the area of CDEF is:
[tex]Area = EF * ED[/tex]
[tex]Area = 3 * 6[/tex]
[tex]Area = 18[/tex]
ABCG
[tex]AB= GC = 2[/tex]
[tex]AG = BC = 2[/tex]
[tex]Area = AB * AG[/tex]
[tex]Area = 2 * 2[/tex]
[tex]Area = 4[/tex]
So, the base area is:
[tex]Base\ Area = 18 + 4[/tex]
[tex]Base\ Area = 22[/tex]
The volume is then calculated as:
[tex]Volume = Base\ Area * Height[/tex]
[tex]Volume = 22 * 8[/tex]
[tex]Volume = 176[/tex]
