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 unlabeled. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The top rectangle is labeled as 9 centimeters on the bottom and 5 centimeters on the right side. The right most rectangle is labeled 8 cm vertically on the right side.
What is the surface area of the rectangular prism?
4 answers
Let's label the rectangles:
1. Front face: Unknown dimensions
2. Top face: 9 cm by 5 cm (45 square cm)
3. Right face: 8 cm by 5 cm (40 square cm)
4. Bottom face: Same dimensions as the top face (45 square cm)
5. Left face: Same dimensions as the right face (40 square cm)
6. Back face: Same dimensions as the front face (unknown)
Surface Area:
Front face: Unknown
Top face: 45 square cm
Right face: 40 square cm
Bottom face: 45 square cm
Left face: 40 square cm
Back face: Unknown
To find the surface area, we add the areas of all the faces together:
45 + 40 + 45 + 40 = 170 square cm
So, the surface area of the rectangular prism is 170 square cm.
Let's label the rectangles:
1. Front face: Unknown dimensions
2. Top face: 9 cm by 5 cm (45 square cm)
3. Right face: 8 cm by 5 cm (40 square cm)
4. Bottom face: Same dimensions as the top face (45 square cm)
5. Left face: Same dimensions as the right face (40 square cm)
6. Back face: Unknown
Surface Area:
Front face: Unknown
Top face: 45 square cm
Right face: 40 square cm
Bottom face: 45 square cm
Left face: 40 square cm
Back face: Unknown
To find the surface area, we add the areas of all the faces together:
45 + 40 + 45 + 40 = 170 square cm
So, the surface area of the rectangular prism is 170 square cm.
The surface area of the rectangular prism is 170 square cm.