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9 December, 08:43

a right rectangular prism has a length of 5 cm a width of 4 cm and a height of 3 cm the dimensions of the prism doubled what is the volume of the prism are doubled

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  1. 9 December, 08:45
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    When the dimensions of the prism are doubled then the volume becomes eight times more of its original volume.

    Explanation:

    Given -

    Length, L1 = 5cm

    width, W1 = 4cm

    height, H1 = 3cm

    when the dimensions are doubled, the value becomes

    Length, L2 = 2 X 5cm = 10cm

    width, W2 = 2 X 4cm = 8cm

    height, H2 = 2 X 3cm = 6cm

    The volume of the initial prism = length X width X height

    Volume 1 = 5cm X 4cm X 3cm

    Volume 1 = 60cm³

    The volume of the final prism = length X width X height

    Volume 2 = 10cm X 8cm X 6cm

    Volume 2 = 480cm³

    Therefore, when the dimensions of the prism are doubled then the volume becomes eight times more of its original volume.
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