12/03/24 Surface Area of Rectangular Prisms

Front

What does B represent in the context of a rectangular prism?

Back

B represents the Area of the Base.

Front

What does P represent in the context of a rectangular prism?

Back

P represents the Perimeter 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 Area of the Base of a Rectangular Prism?

Back

Area of the Base = length × width.

Front

What is the relationship between the Surface Area and Volume of a Rectangular Prism?

Back

Surface Area measures the total area of the prism's faces, while Volume measures the space inside the prism.

Front

If the length of a rectangular prism is doubled, how does that affect the Surface Area?

Back

The Surface Area increases, specifically it will increase by a factor of 2 for the dimensions involving length.

Front

If the height of a rectangular prism is halved, how does that affect the Volume?

Back

The Volume is halved, as Volume = length × width × height.

Front

What is the significance of the total Surface Area in real-world applications?

Back

Total Surface Area is important for determining materials needed for construction or packaging.

Front

How can you find the Surface Area of a rectangular prism with dimensions 3 cm, 4 cm, and 5 cm?

Back

Surface Area = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 cm².

Front

What does it mean if two rectangular prisms have the same Surface Area but different Volumes?

Back

It means they have different dimensions, affecting how much space they occupy.