To find the volume of the shoebox using the formula \( V = B \times h \), we first need to calculate the area of the base \( B \) and then multiply by the height \( h \).
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Calculate the base area \( B \): \[ B = \text{length} \times \text{width} = 1.5 , \text{ft} \times 0.75 , \text{ft} \]
First, convert \( 1.5 \) to a fraction: \[ 1.5 = \frac{3}{2} \] So, \[ B = \frac{3}{2} , \text{ft} \times \frac{3}{4} , \text{ft} = \frac{3 \times 3}{2 \times 4} = \frac{9}{8} , \text{ft}^2 \]
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Determine the height \( h \): The height is: \[ h = \frac{1}{2} , \text{ft} \]
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Calculate the volume \( V \): Now, use the volume formula: \[ V = B \times h = \frac{9}{8} , \text{ft}^2 \times \frac{1}{2} , \text{ft} = \frac{9}{16} , \text{ft}^3 \]
Thus, the volume of the shoebox is \( \frac{9}{16} , \text{ft}^3 \).
Answer: \( \frac{9}{16} , \text{ft}^3 \)