230k views
2 votes
Find the volume V of a right square pyramid of height h and side length a by using triple integrals. (Enter your answer in terms of a and h.)

User Jooks
by
8.6k points

1 Answer

3 votes

Final answer:

To find the volume of a right square pyramid using triple integrals, set up the integral in Cartesian coordinates and evaluate it to find the volume in terms of a and h.

Step-by-step explanation:

To find the volume V of a right square pyramid of height h and side length a using triple integrals, we can set up the integral in Cartesian coordinates.

The integral takes the form V = ∫∫∫ dV = ∫∫∫ 1 dV, where the limits of integration can be determined by the geometry of the pyramid.

By setting up the integral and evaluating it, we can find the volume V in terms of a and h.

Learn more about Volume of a right square pyramid

User Driouxg
by
8.0k points