(Steps Shown) Let B be the region in R^3 determined by the conditions 0 ≤q x ≤q 1,0 ≤q y ≤q 1 and 0 ≤q z ≤q x y. Find the volume of B,


Question: Let \(B\) be the region in \(\mathbb{R}^{3}\) determined by the conditions \(0 \leq x \leq 1,0 \leq y \leq 1\) and \(0 \leq z \leq x y\). Find the volume of \(B\), and evaluate \(\int_{B} x y \mathrm{~d} x \mathrm{~d} y \mathrm{~d} z\)

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