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

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

Back

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

Front

What does 'surface area' refer to in geometry?

Back

Surface area is the total area of the surface of a three-dimensional object.

Front

How do you find the area of one face of a rectangular prism?

Back

Area of one face = length × width.

Front

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

Back

Surface Area = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 2(26) = 52 cm².

Front

If the dimensions of a rectangular prism are doubled, how does the surface area change?

Back

The surface area increases by a factor of 4.

Front

What is the surface area of a rectangular prism with a length of 5 in, width of 3 in, and height of 2 in?

Back

Surface Area = 2(5*3 + 5*2 + 3*2) = 2(15 + 10 + 6) = 2(31) = 62 in².

Front

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

Back

The surface area is directly related to the dimensions; as dimensions increase, surface area increases.

Front

What is the surface area of a rectangular prism with dimensions 1 m, 2 m, and 3 m?

Back

Surface Area = 2(1*2 + 1*3 + 2*3) = 2(2 + 3 + 6) = 2(11) = 22 m².

Front

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

Back

Surface Area = 2(base area) + perimeter of base × height.