Q22. - Geometry

Question

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area and volume.

Regular hexagon with side 8, h = 12.

Step-by-Step Solution

Answer

The lateral area is 576, the total area is$576+192\sqrt{3}$ and the volume is$1152\sqrt{3}$ .

Step 1. Given information.

Side of Regular hexagon is 8 and height is 12.

Step 2. Sketch the graph.

Now to draw a prism first make its base as a triangle and then sketch the length of 10 triangle from its each point, 

Thus, the prism can be obtained as:

Step 3. Determine values.

Form the above graph and side and height it can be observed that the lateral area of the prism is576  and total area is$576+192\sqrt{3}$ and volume is$1152\sqrt{3}$ .