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30 April, 23:33

A cement bridge post is 24 inches square and 15 feet 9 inches in length. If the cement weighs 145 pounds per cubic foot, how much does one bridge post weigh? A. 9,280 pounds B. 9,222 pounds C. 9,135 pounds D. 8,700 pounds

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  1. 1 May, 01:35
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    The answer is option (C), One cement bridge post weighs 9,135 pounds

    Step-by-step explanation:

    Step 1: Get the total volume of a cement bridge post

    The cement bridge post is in the shape of a cuboid, therefor the volume of the cement bridge post can be expressed as;

    Volume of cement bridge post=Base area*Length

    where;

    Base area = (24^2) inches square

    1 foot=12 inches

    Convert 24 inches to foot=24/12=2^2=4 feet²

    Length=15 feet and 9 inches

    1 foot=12 inches

    Convert 9 inches to foot=9/12=0.75 feet

    Total length = (15+0.75) = 15.75 feet

    replacing;

    Volume of cement bridge post = (4*15.75) = 63 cubic feet

    Volume of cement bridge post=63 cubic feet

    Step 2: Get the total weight of the cement bridge post

    Total weight of the cement bridge post=Weight per cubic foot*total volume of the cement bridge post

    where;

    Weight per cubic foot=145 pounds per cubic foot

    Total volume of the cement bridge post=63 cubic feet

    replacing;

    Total weight of the cement bridge post = (145*63) = 9,135 pounds

    One cement bridge post weighs 9,135 pounds
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