A prism with a base area of 3 m2 and a height of 4 m is dilated by a factor of 3/2 What is the volume of the dilated prism?
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The value of the new volume 'x' would be equal to 40.5 cm³.

Step-by-step explanation:

Given

We can determine the volume of the original prism by multiplying the area of the base by the height,

                              volume = (3 cm²)(4 cm) = 12 cm³

Dilation by a factor of 3/2 means that the dimensions of the new prism is 3/2 times that of the original object.

let 'x' be the volume of the new solid,

Multiply both sides by 12

cm³

Therefore, the value of the new volume 'x' would be equal to 40.5 cm³.

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step-by-step explanation: