6th Surface area of rectangular prisms

Front

What is the formula for calculating 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 the areas of all the surfaces (faces) of a 3D shape.

Front

If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm, what is its surface area?

Back

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

Front

What are the units used for measuring surface area?

Back

Square units (e.g., cm², m², in²).

Front

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

Back

Increasing the dimensions increases the surface area.

Front

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

Back

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

Front

What is the surface area of a cube with a side length of 6 cm?

Back

Surface Area = 6 * (side length)² = 6 * (6)² = 6 * 36 = 216 cm².

Front

If the surface area of a rectangular prism is 88 square inches, what could be its dimensions?

Back

Possible dimensions could be 4 in, 4 in, and 6 in.

Front

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

Back

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

Front

What is the surface area of a rectangular prism with a length of 10 in, width of 5 in, and height of 2 in?

Back

Surface Area = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2(80) = 160 in².