Question

Find the surface area of a right triangle prism with legs measuring 3 and 4 and a height of 10.

A. 130

B. 132

C. 144

D. 140

Answer 1

Since we have a rectangle triangle, then we can find the other side of the triangle using the Pythagorean theorem.
We have then:

`L = √(3^2+4^2)`

`L = √(9+16)`

`L = √(25)`

`L = 5`
Then the surface area is given by the sum of the areas.
Triangle of the base and the top:

`A1 = (1/2) * (4) * (3) A1 = 6`
Rectangle 1:

`A2 = (3) * (10) A2 = 30`
Rectangle 2:

`A3 = (4) * (10) A3 = 40`
Rectangle 3:

`A4 = (5) * (10) A4 = 50`
Finally, the surface area is:

`A = 2A1 + A2 + A3 + A4`
Substituting values:

`A = 2 * (6) + 30 + 40 + 50 A = 132`
Answer:
The surface area of a right triangle prism is:
B. 132