Surface Area of Solids

🎬 Video Tutorial

  • (0:01) Surface Area of a Cuboid: Calculate each pair of faces (top-bottom, front-back, left-right) and sum their areas to find the total surface area.
  • (1:00) Surface Area of a Cube: Since all 6 faces of a cube are identical squares, the surface area formula is $6 \times \text{side}^2$.
  • (2:21) Surface Area of a Triangular Prism: Add the areas of the two triangular faces and three rectangular faces.
  • Real-World Application: Knowing surface area is essential for practical tasks like painting or covering surfaces.

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🍪 Quiz

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Surface Area of Solids

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Q: What is the surface area of a cube with a side length of 4 cm?

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Q: What is the area of its top face?

An cuboid with dimensions 6 m length, 3 m height, and 2 m width, with the top face highlighted.

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Q: A cube has a surface area of $150 \text{cm}^2$. What is the length of one side?

 

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Q: A cuboid has a length of 12 cm, a width of 7 cm, and a height of 5 cm. What is its total surface area?

 

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Q: A cuboid has a length of 15 cm, a width of 10 cm, and a height of 8 cm. What is its total surface area?

 

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Q: Consider the cuboid below. Excluding its top face, what is its surface area?

A cuboid with dimensions 12 m length, 8 m height, and 6 m width, with the top face highlighted.

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