Problem

Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 4 . If the volume of rectangular pyramid $\mathrm{A}$ is $148 \mathrm{in}^{3}$, find the volume of rectangular pyramid $\mathrm{B}$, the image.

Answer

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Answer

\(\boxed{9472}\) cubic inches is the volume of rectangular pyramid B.

Steps

Step 1 ：Given the volume of rectangular pyramid A is 148 cubic inches and the scale factor is 4.

Step 2 ：Use the formula for the volume of a pyramid after dilation: Volume of pyramid B = Volume of pyramid A * (scale factor)^3

Step 3 ：Calculate the volume of pyramid B: \(148 * (4)^3\)

Step 4 ：\(\boxed{9472}\) cubic inches is the volume of rectangular pyramid B.

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