Total Surface Area - the trick to getting it right | Summary and Q&A

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.

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.

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

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.