Final answer:
The weight of a rectangular oak dining room table top with dimensions of 12ft by 3ft by 1 inch and a density of 75 pounds per cubic foot is calculated to be 225 pounds.
Step-by-step explanation:
The student has asked how to calculate the weight of a rectangular oak dining room table top that measures 12ft by 3ft by 1 inch and weighs 75 pounds per cubic foot. To calculate the weight of the table top, first, we need to find its volume in cubic feet. Since one measurement is given in inches, we convert it to feet by dividing by 12 (since there are 12 inches in a foot). Thus, 1 inch is 1/12 feet. The volume in cubic feet is calculated as length × width × height, which gives 12ft × 3ft × (1/12)ft = 3 cubic feet.
Now, we can find the weight by multiplying the volume by the weight per cubic foot. Multiplying 3 cubic feet by 75 pounds per cubic foot results in 225 pounds. Therefore, the weight of the table top is 225 pounds.
It is important to use conversion factors when calculating volumes and weights, especially when the measurements are given in different units.