Surface Area of Rectangular Prisms

Front

What is a rectangular prism?

Back

A three-dimensional shape with six rectangular faces, where opposite faces are equal in area.

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 unit of measurement for surface area?

Back

Square units (e.g., square inches, square centimeters).

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 difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

Why is surface area important in real-life applications?

Back

It helps determine the amount of material needed for packaging, painting, or covering an object.

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)² = 6 * 36 = 216 cm².

Front

What is the formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r = radius and h = height.

Front

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

Back

Increasing any dimension (length, width, or height) increases the surface area.

Front

What is the surface area of a rectangular prism with dimensions 10 in, 5 in, and 2 in?

Back

Surface Area = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2(80) = 160 in².