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29 November, 02:00

The inside dimensions of a rectangular box are 8 inches by 6 inches by 16 inches. How many cubes with the dimensions of 2 inches by 2 inches by 2 inches can be packed in the box?

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  1. 29 November, 03:04
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    Can be packed 96 cubes in the box

    Step-by-step explanation:

    To solve this exercise we are going to calculate the two volumes

    To calculate the volume of a rectangular prism we have to use the following formula:

    v = volume

    w = width = 8 in

    l = length = 6 in

    h = height = 16 in

    v = w * h * l

    we replace the values that we know

    v = 8 in * 6in * 16 in

    v = 768 in³

    The volume of the box is 768 in³

    Now we calculate the volume of the cube

    v = 2in * 2in * 2in

    v = 8 in³

    Now we divide the volume of the box by the volume of the cubes and it will tell us how many cubes fit in the box

    768 in³ / 8 in³ = 96

    Can be packed 96 cubes in the box
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