Surface Area of Rectangular Prisms Using Nets

Front

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

Back

The surface area (SA) of a rectangular prism is given by the formula: SA = 2lw + 2lh + 2wh, where l = length, w = width, and h = height.

Front

What does 'net' mean in the context of a rectangular prism?

Back

A net is a two-dimensional representation of a three-dimensional shape. For a rectangular prism, the net consists of six rectangles that can be folded to form the prism.

Front

How do you calculate the area of a rectangle?

Back

The area (A) of a rectangle is calculated using the formula: A = length × width.

Front

What is the significance of units in surface area calculations?

Back

Units in surface area calculations indicate the measurement of the area. For example, m² (square meters) or in² (square inches) show the size of the surface.

Front

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

Back

Using the formula SA = 2lw + 2lh + 2wh, the surface area is SA = 2(5)(3) + 2(5)(4) + 2(3)(4) = 30 + 40 + 24 = 94 m².

Front

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

Back

Using the formula SA = 2lw + 2lh + 2wh, the surface area is SA = 2(2)(3) + 2(2)(4) + 2(3)(4) = 12 + 16 + 24 = 52 in².

Front

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

Back

The surface area increases as the dimensions (length, width, height) of the rectangular prism increase. Changing any dimension affects the total surface area.

Front

How can you visualize the surface area of a rectangular prism?

Back

You can visualize the surface area by unfolding the prism into its net, which shows all six faces laid out flat.

Front

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

Back

Using the formula SA = 2lw + 2lh + 2wh, the surface area is SA = 2(10)(5) + 2(10)(2) + 2(5)(2) = 100 + 40 + 20 = 160 ft².

Front

What is the surface area of a rectangular prism with dimensions 7 yd, 3 yd, and 2 yd?

Back

Using the formula SA = 2lw + 2lh + 2wh, the surface area is SA = 2(7)(3) + 2(7)(2) + 2(3)(2) = 42 + 28 + 12 = 82 yd².