GED Math Practice Test

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Which component of a rectangular prism corresponds to "height" in the volume formula (v=(pi X r squared)h)?

Area
Height
Length
Width

The correct answer is: Height

The correct answer is height because, in the context of the volume formula for a cylinder (v = πr²h), "h" represents the height of the cylinder. This height acts as one of the dimensions needed to calculate the total volume, alongside the base area represented by πr². In the case of a rectangular prism, height similarly corresponds to one of the dimensions that contributes to the overall volume calculation, making height a crucial component for determining the space within the prism. The other components, such as area, length, and width, serve different roles in the formula. The area typically refers to the base area, while length and width are the dimensions of the base itself in a rectangular prism. Therefore, height distinctly represents the vertical measurement, which is essential for computing volume.