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11-53.

What are the volume and surface area of a square-based right pyramid if the base edge has length units and the height of the pyramid is units?

A rectangular pyramid, with dashed line segments from the top vertex, perpendicular to the center of the rectangle, and from the center of rectangle, to bottom mid-point of right side triangle, and from the top vertex, perpendicular to the bottom edge of the right side triangle. This creates an internal right triangle.

SA = total area of the faces and the base

Use the Pythagorean Theorem to find the height of the triangular faces.