A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 5 cm. How many rectangles in the net will have the dimensions 6 cm×4 cm ?
Use Nets to Solve Rectangular Problems Practice
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A 3 D rectangular prism shows a base length of 7and one half inches. The width is 4 inches and the height is 2 and one half inches. The edges that are not visible are shown as dashed lines.
A rectangular prism has dimensions 7 1/2 in.×4 in.× 2 1/2 in . In the net of this prism, how many sides will be represented?
Keira is wrapping up her air conditioner for the winter. She needs to determine how much shrink wrap will cover the air conditioner completely. If the dimensions of the air conditioner are 23’’ x 25’’ x 17’’, what is its surface area in square inches? Use a net to help you calculate your answer.
For the first question, the net of a rectangular prism will consist of 6 rectangles - top, bottom, front, back, left side, and right side.
For the second question, a net of the rectangular prism with dimensions 7 1/2 in. x 4 in. x 2 1/2 in. will consist of 5 rectangles - one for the top, one for the bottom, one for the front, one for the back, and one for the side.
To calculate the surface area of the air conditioner, we need to calculate the surface area of each face of the rectangular prism individually and then add them together.
Surface area of front and back faces = length x height = 23’’ x 17’’ + 23’’ x 17’’ = 782 square inches
Surface area of top and bottom faces = length x width = 23’’ x 25’’ + 23’’ x 25’’ = 1150 square inches
Surface area of left and right side faces = height x width = 17’’ x 25’’ + 17’’ x 25’’ = 850 square inches
Total surface area = 782 + 1150 + 850 = 2782 square inches.
Therefore, the surface area of the air conditioner is 2782 square inches.