Question

What is the surface area of this triangular prism?

Answer 1

136 m^2

Explanation:

Surface area is the area of all the sides added together.

Front = triangle = b * h = 6 * 4 = 12 12

2 2

Back = triangle = b * h = 6 * 4 = 12 12

2 2

Right = Rectangle = l * w = 7 * 5 = 35 35

Left = Rectangle = l * w = 7 * 5 = 35 35

Bottom = = Rectangle = l * w = 7 * 6 = 42 42

136 m^2

Answer 2

surface area = 136 m^2

Explanation:

The prism has 5 faces.

Faces 1 and 2: The front and back faces are two congruent triangles with base 6 m and height 4 m.

Face 3: The bottom face is a rectangle with length 7 m and width 6 m.

Faces 4 and 5: The left and right inclined faces are two congruent rectangles with length 7 m and width 5 m.

area = area of faces 1 and 2 + area of face 3 + area of faces 4 and 5

area of triangle = bh/2

area of rectangle = LW

area = 2 * 6 m * 4 m / 2 + 7 m * 6 m + 2 * 7 m * 5 m

area = 24 m^2 + 42 m^2 + 70 m^2

area = 136 m^2

Answer: surface area = 136 m^2