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Q14.

Expert-verifiedFound in: Page 485

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

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

**$\text{Base}\u200a\u200a\text{edge}=16,\u200a\u200a\text{Lateral}\u200a\u200a\text{edge}=17$**

The sketch of the pyramid will be as shown

The lateral area, total area and volume of pyramid are _{}.

A square pyramid with base edge 16 and lateral edge 17.

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:

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 $480,736\text{and}\frac{256\sqrt{161}}{3}$.

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