Solve the Problem $\int _ { 0 } ^ { 4 } \int _ { 0 } ^ { 7 - x } \int _ { 0 } ^ { 10 - y - x } d x d y d z$

Multiple Choice

Solve the problem.
-Write an iterated triple integral in the order dx dy dz for the volume of the rectangular solid in the first octant bounded by the planes x = 4, y = 7, and z = 10.

A) $\int _ { 0 } ^ { 4 } \int _ { 0 } ^ { 7 - x } \int _ { 0 } ^ { 10 - y - x } d x d y d z$
B) $\int _ { 0 } ^ { 4 } \int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 10 } \mathrm { dx } d y \mathrm { dz }$
C) $\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 7 - x } \int _ { 0 } ^ { 4 - y }$
D) $\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 4 } \mathrm { dx } d y \mathrm { dz }$