Surface Area of a Rectangular Prism

Front

What is the surface area of a rectangular prism?

Back

The total area of all the faces of a rectangular prism.

Front

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

Back

Surface Area = 2(length × width + width × height + height × length)

Front

How do you calculate the area of one face of a rectangular prism?

Back

Area = length × width for the front and back faces, width × height for the left and right faces, height × length for the top and bottom faces.

Front

What is the surface area of a cube?

Back

The surface area of a cube is calculated using the formula: Surface Area = 6 × (side length)².

Front

Why do we multiply the area of each face by 2 when calculating surface area?

Back

Because each face has two identical sides.

Front

If a rectangular prism has dimensions 4 cm, 3 cm, and 2 cm, what is its surface area?

Back

Surface Area = 2(4×3 + 3×2 + 2×4) = 2(12 + 6 + 8) = 2(26) = 52 cm².

Front

What units are used for surface area?

Back

Square units, such as cm², m², etc.

Front

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

Back

Volume measures the space inside the prism, while surface area measures the total area of its outer surfaces.

Front

How does increasing the dimensions of a rectangular prism affect its surface area?

Back

Increasing the dimensions generally increases the surface area, but the relationship is not linear.

Front

What is the surface area of a rectangular prism with a length of 5 cm, width of 4 cm, and height of 3 cm?

Back

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