Surface Area of Rectangular Prism

Front

What is surface area?

Back

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

Front

What is the definition of surface area?

Back

The sum of all the areas of all the shapes that cover the object.

Front

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

Back

SA = 2lw + 2lh + 2wh

Front

Calculate the surface area of a rectangular prism with dimensions 10 cm, 5 cm, and 4 cm.

Back

SA = 2(10)(5) + 2(10)(4) + 2(5)(4) = 2(50) + 2(40) + 2(20) = 100 + 80 + 40 = 220 cm².

Front

What are the dimensions of a rectangular prism with a surface area of 556 cm²?

Back

Dimensions can vary; one example is 10 cm x 8 cm x 7 cm.

Front

If a rectangular prism has a length of 6 cm, width of 3 cm, and height of 2 cm, what is its surface area?

Back

SA = 2(6)(3) + 2(6)(2) + 2(3)(2) = 36 + 24 + 12 = 72 cm².

Front

What is the surface area of a cube with a side length of 4 cm?

Back

SA = 6s² = 6(4)² = 6(16) = 96 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

Find the surface area of a rectangular prism with dimensions 5 cm, 5 cm, and 5 cm.

Back

SA = 2(5)(5) + 2(5)(5) + 2(5)(5) = 150 cm².