What is the surface area of a triangular prism is it’s edge is 5cm, the length is 11cm, and the height is three.
What is the surface area of a triangular prism is it’s edge is 5cm, the length is 11cm, and the height is three.
We need to first find the area of each triangle face and the rectangular lateral face.
To find the area of a triangle, we need to use the formula: A = (1/2)bh, where b is the base and h is the height.
For the two triangular faces, we have:
A = (1/2)(5)(3) = 7.5 cm²
(Note that the base is 5 cm because that is the length of one edge, and the height is 3 cm because that is the height of the prism.)
So the total area of the two triangular faces is 2(7.5) = 15 cm².
To find the area of the rectangular lateral face, we need to use the formula: A = lw, where l is the length and w is the width.
For the rectangular lateral face, we have:
A = (11)(5) = 55 cm²
(Note that the length is 11 cm because that is the length of the prism, and the width is 5 cm because that is the same as the length of one edge of the triangle.)
So the total surface area of the triangular prism is:
15 + 55 = 70 cm²
Therefore, the surface area of the triangular prism is 70 cm².