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9 July, 03:19

A rectangular prism measure 7 1/2 by 12 by 15 1/2

Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

What is the volume of the prism in cm? If you are stuck, think about how many cubes with 1/2-cm edge lengths fit into 1 cm.

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  1. 9 July, 03:40
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    Step-by-step explanation:

    Volume of a rectangular prism is length * height * width

    Length=7 1/2

    Width = 15 1/2

    Height=12

    Volume of the prism is therefore:

    7 1/2*12*15 1/2 = 1395cm3

    No of cubes with edge length 1/2 to fit into the prism will be:

    Volume of cube is L*W*H

    1/2*1/2*1/2 = 1/8cm3

    Therefore the no of cubes to fit into the Prism will be:

    1395 / (1/8) = 11160 cubes.

    If one was stuck, the number of 1/2 edge length cube to fit into 1cm will be:

    1 / (1/8) = 8 cubes
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