To find the volume of the truck bed, you can use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Given the dimensions of the truck bed:
- Length = 95 inches
- Width = 80 inches
- Height = 42 inches
Now substitute the values into the formula:
\[ \text{Volume} = 95 , \text{in} \times 80 , \text{in} \times 42 , \text{in} \]
Calculating this step by step:
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Multiply the length and width: \[ 95 \times 80 = 7600 , \text{in}^2 \]
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Now multiply that result by the height: \[ 7600 , \text{in}^2 \times 42 , \text{in} = 319200 , \text{in}^3 \]
So, the volume of the truck bed is:
\[ \text{Volume} = 319200 , \text{in}^3 \]
Thus, the space available in the truck bed for transporting books is 319200 cubic inches.