Surface Area of Prisms

Front

What is the surface area of a prism?

Back

The surface area of a prism is the total area of all its faces, including the two bases.

Front

How do you calculate the surface area of a rectangular prism?

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

What is the formula for the surface area of a triangular prism?

Back

Surface Area = bh + (s1 + s2 + s3)h, where b = base area, s1, s2, s3 = side lengths, h = height.

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as cm², m², in², or ft².

Front

If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm, what is its surface area?

Back

Surface Area = 2(5*3 + 5*4 + 3*4) = 2(15 + 20 + 12) = 2(47) = 94 cm².

Front

What is the total surface area of a cube with a side length of 6 cm?

Back

Surface Area = 6s² = 6(6²) = 6(36) = 216 cm².

Front

How does the surface area of a prism change if the dimensions are doubled?

Back

If the dimensions are doubled, the surface area increases by a factor of 4.

Front

What is the relationship between surface area and volume in prisms?

Back

Surface area measures the total area of the outer surfaces, while volume measures the space inside the prism.

Front

What is a base in the context of prisms?

Back

A base is one of the two parallel faces of a prism, which can be any polygon.

Front

How do you find the lateral surface area of a prism?

Back

Lateral Surface Area = Perimeter of the base × Height.