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To find the volume of the shoebox, we need to multiply the base area by the height. The formula for the volume of a rectangular prism (shoebox) is V = B x h, where B is the area of the base and h is the height.
Given:
Length = 1 1/2 ft = 3/2 ft
Width = 3/4 ft
Height = 1/2 ft
First, let's calculate the area of the base:
Area of the base (B) = length x width
B = (3/2 ft) x (3/4 ft)
B = 9/8 ft²
Now, we can calculate the volume:
V = B x h
V = (9/8 ft²) x (1/2 ft)
V = 9/16 ft³
Therefore, the volume of the shoebox is 9/16 cubic feet.