Find the Mass of the Solid That Occupies the Region $E = \{ ( x , y , z ) \mid 0 \leq x \leq 1,0 \leq y \leq 1,0 \leq z \leq 1 \}$

question 143

Multiple Choice

Find the mass of the solid that occupies the region $E = \{ ( x , y , z ) \mid 0 \leq x \leq 1,0 \leq y \leq 1,0 \leq z \leq 1 \}$ and has density function $\rho ( x , y , z ) = x$ .

• A) \(\frac { 1 } { 6 }\)
• B) \(\frac { 1 } { 4 }\)
• C) \(\frac { 1 } { 3 }\)
• D) \(\frac { 1 } { 2 }\)
• E) \(\frac { 2 } { 3 }\)
• F) \(\frac { 3 } { 4 }\)
• G) \(\frac { 5 } { 6 }\)
• H)1

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