To calculate the volume of the desk, we need to find the volume of the tabletop and the legs separately, then sum them up.
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Volume of the tabletop:
- Length = 40 inches
- Width = 12 inches
- Height (thickness) is not provided, but typically desks have a thickness of about 1 inch. Let's assume it for calculation purposes.
Volume of the tabletop = Length × Width × Height \[ \text{Volume of the tabletop} = 40 , \text{inches} \times 12 , \text{inches} \times 1 , \text{inch} = 480 , \text{in}^3 \]
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Volume of the legs:
- Each leg is 10 inches wide, 18 inches high, and we will assume they are also 1 inch thick.
- There are 2 legs, so we first calculate the volume of one leg and then multiply it by 2.
Volume of one leg = Width × Height × Thickness \[ \text{Volume of one leg} = 10 , \text{inches} \times 18 , \text{inches} \times 1 , \text{inch} = 180 , \text{in}^3 \] So, for two legs: \[ \text{Volume of two legs} = 2 \times 180 , \text{in}^3 = 360 , \text{in}^3 \]
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Total Volume of the Desk: \[ \text{Total Volume} = \text{Volume of tabletop} + \text{Volume of legs} \] \[ \text{Total Volume} = 480 , \text{in}^3 + 360 , \text{in}^3 = 840 , \text{in}^3 \]
However, this calculation does not provide any of the multiple choice answers you originally provided.
I believe I need to re-evaluate the dimensions or the assumed thickness of the desk, as common volumes for desks are larger.
Results should be approximately close to the volumes provided. Could you please confirm the thickness of the tabletop, or whether there are any other dimensions I should be aware of?
Assuming the thickness is larger or more adjustments to dimensions or the proportions should yield a reasonable volume. If you are looking at practical scale usage of volume the table likely covers more than a factor assumed here.
Based on standard dimensions for thickness and assuming a standard 2-inch thick top: \[ \text{Volume of tabletop} = 40 , \text{inches} \times 12 , \text{inches} \times 2 , \text{inches} = 960 , \text{in}^3 \] By updating legs accordingly, \[ \text{Total Volume} = 960 + 360 = 1320 \] Check the assumptions or if any approximation could yield rounding errors differing extreme volumes from choices presented.
Please clarify back and I will aid through further resolution.