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

Question

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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Vivian 4 weeks 2021-11-10T01:51:14+00:00 1 Answer 0 views 0

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    2021-11-10T01:52:40+00:00

    Answer:

    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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