Marci needs to rent a storage unit. She needs to determine the volume of the storage unit to decide if the storage unit is big enough to hold her things. If the storage unit is 8 ft high, what is the volume of the storage unit? A. 176 ft3 B. 192 ft3 C. 144 ft3 D. 136 ft3

(B) 192 cubic feet.

Step-by-step explanation:

To determine the volume, V, first determine the area of the base, A, then, multiply the area with the height, h, to get the volume, as

V=Ah ...)i)

From the figure, the area of the base ABCDEFG

= Area of the rectangle ABCG + Area of the rectangle CDEF

Now, from the figure,

Area of the rectangle ABCG =2 x 2 = 4 square feet.

The length side CF= CG+FG, as CG=AG

So, CF= CG+AG =2+4= 6 feet.

And the length of the side CD= BD-BC, as BC=AG,

So, CD= BD-AG =5-2= 3 feet.

Area of the rectangle CDEF = 6 x 3 = 18 square feet.

So, the area of the base ABCDEFG, A = 18+4 = 22 square feet.

The given height, h= 8 feet.

So, from equation (i), the volume, V is

V= 22 x 8 = 192 cubic feet.

Hence, option (B) is correct.

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