Q8. - Geometry

Question

Sketch the following pyramid. Then find its lateral area.

A regular pentagonal pyramid with base edge 1.5 and slant height 9.

Step-by-Step Solution

Answer

The sketch of the pyramid will be as shown

The lateral area is 33.75 square units.

Step 1. Given information.

A regular pentagonal pyramid with base edge 1.5 and slant height 9.

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 side and height it can be observed that the lateral area of pyramid is $\text{33.75}$ square unit.