Worksheet: Triple Integrals

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In this worksheet, we will practice evaluating triple integrals.

Q1:

Evaluate the triple integral 𝑥𝑦𝑧𝑥𝑦𝑧ddd.

Q2:

Evaluate the triple integral 1𝑥𝑦𝑧ddd.

Q3:

Evaluate the triple integral 𝑥𝑦𝑧𝑧𝑦𝑥ddd.

  • A148
  • B124
  • C130
  • D112
  • E16

Q4:

Evaluate the triple integral 𝑧𝑥𝑥𝑧𝑦ddd.

  • A13
  • B1
  • C12
  • D16
  • E−56

Q5:

Evaluate the triple integral 𝑦𝑧𝑥𝑧𝑦ddd.

  • A1285
  • B3419
  • C51220
  • D1,023
  • E1,02340

Q6:

Evaluate the triple integral 1𝑧𝑦𝑥ddd.

  • A16
  • B13
  • C−12
  • D14
  • E12

Q7:

Evaluate the triple integral 𝑧𝑒𝑥𝑦𝑧ddd.

  • A(𝑒−4)
  • B14(𝑒−2)
  • C12(𝑒−2)
  • D𝑒4
  • E(𝑒−2)

Q8:

Evaluate the triple integral 𝑧𝑥𝑥𝑦𝑧ddd.

  • A12
  • B13
  • C1
  • D172
  • E112

Q9:

Find the volume 𝑉 of the solid bounded by the three coordinate planes and the plane 3𝑥+2𝑦+5𝑧=6.

Q10:

Find the volume of the solid 𝑆 bounded by the three coordinate planes, the plane 𝑥+𝑦+𝑧=2 from above, and the plane 𝑧=𝑥+𝑦 from below.

  • A−43
  • B13
  • C23
  • D43
  • E2

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