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User Dave Watts
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Answer:

The surface area of the triangular prism is 136 units²

Explanation:

The surface area of a prism is the sum of areas of its faces

From the attached figure

The shape is a triangular prism, it has 5 faces

  • Two triangular faces with base 6 units and height 4 units
  • Two rectangular faces with dimensions 7 units and 5 units
  • One rectangular face with dimensions 7 units and 6 units

Lets find the area of the 5 faces

Area of the 2 triangular faces

∵ The area of a triangle =
(1)/(2) × base × height

∵ The base = 6 units

∵ The height = 4 units

∴ The area of each triangular face =
(1)/(2) × 6 × 4

The area of each triangular face = 12 units²

Area of the 2 rectangular faces with dimensions 7 units and 5 units

∵ The area of a rectangle = length × width

∵ The length = 7 units

∵ The width = 5 units

∴ The area of the rectangular face = 7 × 5

The area of each rectangular face = 35 units²

Area of the rectangular face with dimensions 7 units and 6 units

∵ The area of a rectangle = length × width

∵ The length = 7 units

∵ The width = 6 units

∴ The area of the rectangular face = 7 × 6

The area of the rectangular face = 42 units²

∵ The surface area = sum of areas of all faces

∴ The surface area = 12 + 12 + 35 + 35 + 42

∴ The surface area = 136 units²

The surface area of the triangular prism is 136 units²

User Tiasia
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