Total surface area of Rectangular Prisms

Front

What is the total surface area of a rectangular prism?

Back

The total surface area is the sum of the areas of all six faces of the prism.

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 surface area?

Back

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

Front

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its surface area?

Back

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

Front

What is the surface area of a cube with sides of 5 inches?

Back

Surface Area = 6s² = 6(5)² = 6(25) = 150 in².

Front

Why is surface area important in real-life applications?

Back

It helps determine the amount of material needed to cover an object, like wrapping paper or paint.

Front

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

Back

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

Front

If a box has a surface area of 100 cm² and is a cube, what is the length of one side?

Back

Surface Area = 6s², so 100 = 6s², s² = 100/6, s ≈ 4.08 cm.

Front

What is the relationship between surface area and volume?

Back

Surface area measures the total area covering a shape, while volume measures the space inside it.

Front

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

Back

Increasing dimensions increases the surface area, often more than the volume.