Total Surface Area - the trick to getting it right

TL;DR

Learn how to find the combined area of all external surfaces of different shapes by calculating the area of each face and adding them together.

Transcript

good day and welcome to the tech math Channel what we're going to be having a look at in this video is how to work out the total surface area of shapes okay so uh basically what the total surface area is it's a comb of a solid say of this shape uh or another shape we're going to be having a look at it's basically the combined area of all these exte... Read More

Key Insights

• 💠 Total surface area is the combined area of all external surfaces of a solid shape.
• 😀 To find the total surface area, calculate the area of each face and add them together.
• 💠 For more complicated shapes, break them down into simpler shapes to calculate their areas.
• ⭕ Formulas for finding areas of rectangles, triangles, and circles are helpful in calculating total surface area.
• 🍳 Understanding the concept and breaking down shapes conceptually is more important than memorizing formulas.
• 🪜 The process involves multiplying lengths and widths, and adding or doubling the calculated areas.
• 💠 Pay attention to identical or complementary sides of shapes to avoid redundant calculations.

Questions & Answers

Q: What is total surface area?

Total surface area refers to the combined area of all external surfaces of a solid shape, including faces, sides, and edges.

Q: How do you calculate the total surface area of a shape?

To calculate the total surface area, find the area of each face by multiplying the length and width, and then add them together.

Q: What is the formula for finding the area of a rectangle?

The formula for finding the area of a rectangle is area = length * width.

Q: How do you calculate the total surface area of a triangular solid?

Break down the shape into individual triangles, calculate the area of each triangle using the formula 1/2 * base * height, and then add the areas together.

Q: Can you explain how to find the total surface area of a cylinder?

For a cylinder, calculate the areas of the top and bottom circles using the formula pi * radius^2, and then find the area of the curved rectangle by multiplying the circumference by the height.

Summary & Key Takeaways

• Total surface area is the combined area of all external surfaces of a solid shape, such as a rectangular prism, triangular prism, or cylinder.

• To calculate the total surface area, find the area of each face by multiplying the length and width, and then add them together.

• For more complex shapes, such as a triangular solid or cylinder, break it down into individual shapes, calculate their areas, and add them together.