Surface Area of Rectangular Prisms Practice
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Question
Use the image to answer the question.
An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned horizontally. The first and third are similar and smaller. The second and fourth are similar and bigger. The first rectangle is labeled 1 millimeter on the top horizontally. The fourth rectangle is labeled as 5 millimeters on the bottom and 4.5 millimeters on the right side. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?(1 point)
To find the surface area of the rectangular prism, we need to calculate the area of each individual rectangle and then add them all together.
The first rectangle: 1 mm x 4.5 mm = 4.5 square mm
The second rectangle: (1 mm x 4.5 mm) + (1 mm x 4.5 mm) = 9 square mm
The third rectangle: 1 mm x 4.5 mm = 4.5 square mm
The fourth rectangle: 5 mm x 4.5 mm = 22.5 square mm
The top rectangle: 1 mm x 5 mm = 5 square mm
The bottom rectangle: 1 mm x 5 mm = 5 square mm
Now, add all the areas together:
4.5 + 9 + 4.5 + 22.5 + 5 + 5 = 50.5 square mm
Therefore, the surface area of the rectangular prism is 50.5 square millimeters.