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6 March, 21:58

A steel plate has a length of 1.5 feet, a width of 1 foot, and a thickness of 3/4 inch. A drill makes a hole in the plate with a 1-inch diameter. What is the volume of the steel plate? Round your answer to the nearest cubic inch.

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  1. 6 March, 22:16
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    Answer: 1 ft3

    Step-by-step explanation:

    Hi, to answer this question, first we have to calculate the volume of the rectangular plate:

    Volume of a rectangular prism: width x length x height (thickness)

    Replacing with the values given:

    V = 1 x 1.5 x 3/4 = 1.125 ft3

    Now, we have to calculate the volume of the hole:

    Volume of a cylinder = π (diameter/2) ^2 x height (thickness of the plate)

    V = π (1/2) ^2 (3/4) = 0.59 ft3

    Finally, we have to subtract the volume of the hole to the volume of the plate:

    1.125-0.1875 = 0.53 ft3 = 1 ft3 (rounded)
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