Lesson 10.1 Surface Area of Rectangular Prisms

Front

What does P represent in the context of rectangular prisms?

Back

P represents the Perimeter of the Base.

Front

What does B represent in the context of rectangular prisms?

Back

B represents the Area of the Base.

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

How do you calculate the volume of a rectangular prism?

Back

Volume = l × w × h, where l = length, w = width, h = height.

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

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

Back

The surface area increases, but the exact change depends on the dimensions of the prism.

Front

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

Back

Increasing any dimension (length, width, or height) will generally increase the surface area.

Front

What is a rectangular prism?

Back

A three-dimensional shape with six rectangular faces.

Front

How many faces does a rectangular prism have?

Back

A rectangular prism has 6 faces.

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) = 2(26) = 52 square units.