Question

The three sides of base of triangular prism are 6cm,5cm,x cm respectively.If the length of prism is 20 and its lateral surface area is 360 square cm find the value of x​

Answer 1

Answer: 7

Explanation:

We know that the base sides of the triangular prism are 6cm, 5cm, and

`x` cm. We also know that the length of the prism is 20.

To calculate the lateral surface area of the triangular prism, we need to use the following equation:

`(a + b + c)` x
`length`

So we can input our values, to get this:

`(6 + 5 + x) 20 = 360`

Then we solve the equation by the following steps:

`= > 6+5+x = (360)/(20) = 18\\= > 11 + x = 18\\= > x = 7`

Hope this helps, if you have any further inquiries about this, please reply back. :)