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.

Tags

CCSS.7.G.B.6

Front

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

Back

P represents the Perimeter of the Base.

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.7.G.B.6

Front

How do you calculate the Area of the Base of a Rectangular Prism?

Back

Area of the Base = length × width.

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.6.G.A.4

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.

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.7.G.B.6