Thursday

July 31, 2014

July 31, 2014

Posted by **Nicole** on Friday, January 15, 2010 at 11:45am.

Ex: The base of a triangular prism is an equilateral triangle with a perimeter of 42 cm. If the height of the prism is 10 cm, find the lateral area.

Thanks for the help in advance

- Geometry -
**drwls**, Friday, January 15, 2010 at 11:55amEach of the three rectangular sides of the prism has an area of 14 x 10 = 140 cm^2. So there are 420 sq. cm of lateral area consisting of rectangles.

There are also two triangle sides. An equilateral triangle with 42 cm perimeter has 14 cm sides and a height of 14 sin 60 = 12.12 cm

The area of each triangular end is therefore

(1/2)x14x12.12 = 84.9 cm^2

Add 2 x 84.9 to 420 cm^2 for the answer.

**Related Questions**

geometry - The height of an equilateral triangular prism increases by one unit. ...

geometry - A right pentagonal prism is 10 cm high. If the area of each ...

Geometry - We have a triangular prism that has the following characteristics. It...

Geometry PLEASE HELP - 1. If the surface area of a cube is 294 inches squared, ...

Math - A rectangular solid has a base area of 43.3 sq inches and a height of 50 ...

geometry - find the lateral area and the total surface area of the right prism ...

Math - A triangular prism has an equilateral triangle as its base. The base of ...

geometry - the base of a right prism is a rhombus whose diagonals are 6 in and 8...

mAth - story: Diego is building an architectural rendering of a house. For a ...

Math - Hi Steve, You helped me with a question earlier today about finding ...