Solve the Problem $\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 7 - y - x } d z d y d x$

Multiple Choice

Solve the problem.
-Write an iterated triple integral in the order dz dy dx for the volume of the rectangular solid in the first octant bounded by the planes x = 7, y = 8, and z = 10.

A) $\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 7 - y - x } d z d y d x$
B) $\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 10 - y - x } d z d y d x$
C) $\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 10 } d z d y d x$
D) $\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 7 } d z d y d x$