Surface Area of Rectangular Prisms

Front

What is the total surface area of a rectangular prism?

Back

The total surface area is the sum of the areas of all six faces of the prism.

Front

What is the lateral surface area of a rectangular prism?

Back

The lateral surface area is the sum of the areas of the four vertical faces, excluding the top and bottom faces.

Front

How do you calculate the total surface area of a rectangular prism?

Back

The formula is S = 2lw + 2lh + 2wh, where l is length, w is width, and h is height.

Front

What is the formula for lateral surface area of a rectangular prism?

Back

The formula is L = Ph, where P is the perimeter of the base and h is the height.

Front

What is the difference between total surface area and lateral surface area?

Back

Total surface area includes the area of the two bases, while lateral surface area does not.

Front

What shape is the base of a rectangular prism?

Back

The base of a rectangular prism is a rectangle.

Front

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

Back

The total surface area is 2(5*3) + 2(5*4) + 2(3*4) = 2(15 + 20 + 12) = 2(47) = 94 in².

Front

What is the perimeter of the base of a rectangular prism with length 6 in and width 2 in?

Back

The perimeter P = 2(l + w) = 2(6 + 2) = 2(8) = 16 in.

Front

What is the height of a rectangular prism if its lateral surface area is 48 in² and the perimeter of the base is 16 in?

Back

Using L = Ph, we have 48 = 16h, so h = 48/16 = 3 in.

Front

What is the area of one face of a rectangular prism with length 7 in and width 4 in?

Back

The area of one face is A = l * w = 7 * 4 = 28 in².