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Q14.

Expert-verified
Found in: Page 485

### Geometry

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

The sketch of the pyramid will be as shown

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

See the step by step solution

## Step 1. Given information.

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

## 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:

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