Q7.

Question

Sketch the following pyramid. Then find its lateral area.

A regular triangular pyramid with base edge 4 and slant height 6.

Step-by-Step Solution

Verified
Answer

The sketch of the pyramid will be as shown



The lateral area is 36 square units.

1Step 1. Given information.

A regular triangular pyramid with base edge 4 and slant height 6.

2Step 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:


3Step 3. Interpretation.

Form the above graph and side and height it can be observed that the lateral area of pyramid is 36 square unit.