Find the volume of the pyramid bounded by the plane x + 2y + 6z = 12 in the first octant(x ≥ 0, y ≥ 0, z ≥ 0)

Question

Find the volume of the pyramid bounded by the plane x + 2y + 6z = 12 in the first octant(x ≥ 0, y ≥ 0, z ≥ 0)
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Solution 1

To find the volume of the pyramid, we first need to find the intercepts of the plane with the x, y, and z axes.

The x-intercept is found by setting y = 0 and z = 0 in the equation of the plane, which gives us x = 12.

The y-intercept is found by setting x = 0 and z = 0 in the equation of the plane Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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