Question

HELP! PIC BELOS I GIVE MEDALS:)
the lateral area of the right regular triangular prism is 18pi cm^2. find the total surface area. give your answer in decimal form rounded of to 2 decimal places

Answer 1

The lateral area of the prism is the sum of the areas of the three rectangles whose dimensions are 3 and x.

Answer 2

Each rectangular face has an area of 3x, so all three faces have a combined area of 3 * 3x = 9x.
The lateral area = 9x = 18pi

Answer 3

9x = 18pi
x = 2pi

Answer 4

Now we need the area of the bases.

Answer 5

Each base is a regular triangle with side = 2pi