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.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.