Lesson 10.1 Surface Area of Rectangular Prisms

Front

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

Back

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

Front

What does 'l' represent in the surface area formula?

Back

'l' represents the length of the rectangular prism.

Front

What does 'w' represent in the surface area formula?

Back

'w' represents the width of the rectangular prism.

Front

What does 'h' represent in the surface area formula?

Back

'h' represents the height of the rectangular prism.

Front

What is the perimeter of the base of a rectangular prism?

Back

Perimeter = 2(l + w), where l = length and w = width.

Front

How do you calculate the area of the base of a rectangular prism?

Back

Area = length × width (A = l × w).

Front

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

Back

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

Front

If the length of a rectangular prism is doubled, how does the surface area change?

Back

The surface area increases, as it depends on both length and width.

Front

What is the total surface area of a rectangular prism with dimensions 2 units (length), 3 units (width), and 4 units (height)?

Back

Total Surface Area = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 52 square units.

Front

What is the significance of the base area in calculating the surface area of a prism?

Back

The base area is crucial as it contributes to the total surface area calculation.