Question

A container is shaped like a triangular prism each base of the container is an equilateral triangle with dimensions

Answer 1

Thea answer is below

Explanation:

A triangular prism is a polyhedron (a three dimensional shape) made of a triangular base and 3 faces joining corresponding sides.

The triangular prim has 5 faces of which two are triangular and three are rectangular. It also has 6 vertices and 9 edges.

The lateral surface area of a triangular prism = (a + b + c)h; where a, b and c are the sides of the triangular base and h is the height of the triangle.

Given that a = b = c = 6 cm, h = 15 cm. Hence:

Lateral surface area = (6 + 6 + 6)15 = 270 cm²