Question 18 - Next Generation Quantitative Reasoning, Algebra, and Statistics Practice Test for the ACCUPLACER Test

A cube with a surface area of 384 units\(^2\) is placed below a square pyramid with a height of 8 units and a side length of 3 units. A student wants to make a model of the combined object that is \(25\%\) smaller in volume than the object. What is the volume of the model?

\(402\) units\(^3\)
\(134\) units\(^3\)
\(670\) units\(^3\)
\(536\) units\(^3\)

Hint

When a problem involves multiple dimensions - lengths, areas, and/or volumes - and includes a word like “larger” or “smaller”, be sure to check specifically what is smaller. Whether the volume is \(25\%\) less or the height is makes a difference!

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