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29 January, 17:53

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4.

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

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  1. 29 January, 19:39
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    The volume of the original prism is calculated by multiplying the area of the base by the height,

    volume = (8 cm²) (6 cm) = 48 cm³

    By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,

    x / 48 cm³ = (5/4) ³

    The value of x from the equation above is equal to 93.75 cm³.
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