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.

Rhombus with diagonals 6 and 8, h = 9.

Short answer

The lateral area is 180, the total area is228 and the volume is216 .

Step-by-step solution

Step 1. Given information.

Length of diagonals rhombus are 6 and 8 and height is 9.

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 is 180 and total area is 228 and volume is 216.