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Chapter 12: Q12. (page 485)

Sketch the following square pyramid described. Then find its lateral area, total area, and volume.

Base鈥�鈥�edge=16,鈥�鈥�Slant鈥�鈥�Height=10

Short Answer

Expert verified

The sketch of the pyramid will be as shown

The lateral area, total area and volume of the pyramid are.

Step by step solution

01

Step 1. Given information.

A square pyramid with base edge 16 and slant height 10.

02

Step 2. Sketch the pyramid.

Now to draw pyramid, first draw a parallelogram for the base and sketch diagonals and then draw a vertical segment at the point where the diagonal intersects and then join the vertex to the base vertices,

Thus, the pyramid can be obtained as:

03

Step 3. Interpretation.

Form the above graph and base edge and lateral edge it can be observed that the lateral area, total area and volume of pyramid are 360,576and 512.

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