Surface Area of Rectangular Prisms

Front

What is surface area?

Back

The sum of the areas of all the surfaces (faces) of a 3D shape.

Front

Which example requires you to find the surface area?

Back

Finding out how much wrapping paper is needed to cover a present.

Front

What is the formula for finding the surface area of a rectangular prism?

Back

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

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 units are used to measure surface area?

Back

Square units, such as square meters (m²), square centimeters (cm²), or square inches (in²).

Front

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

Back

Surface Area = 6 * (side length)² = 6 * (6 cm)² = 6 * 36 cm² = 216 cm².

Front

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

Back

The surface area increases by a factor of 4.

Front

What is the relationship between surface area and volume in a rectangular prism?

Back

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

Front

If a box has a surface area of 150 cm² and a height of 5 cm, how can you find the base area?

Back

Base Area = (Surface Area - 2 * (height * base length)) / 2.

Front

What is the surface area of a rectangular prism with dimensions 2 m, 3 m, and 4 m?

Back

Surface Area = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 2(26) = 52 m².