To find the surface area of the rectangular prism, we need to find the area of each of the 6 rectangles and then add them together.
1. The first rectangle has dimensions 3m x 1.5m, so its area is 3m x 1.5m = 4.5 square meters.
2. The second rectangle has dimensions 4m x 1.5m, so its area is 4m x 1.5m = 6 square meters.
3. The third rectangle is the same as the first, so its area is 4.5 square meters.
4. The fourth rectangle has dimensions 4m x 1.5m, so its area is 6 square meters.
5. The fifth rectangle has dimensions 3m x 4m, so its area is 3m x 4m = 12 square meters.
6. The sixth rectangle is the same as the fifth, so its area is 12 square meters.
Adding all the areas together: 4.5 + 6 + 4.5 + 6 + 12 + 12 = 45 square meters.
Therefore, the surface area of the rectangular prism is 45 square meters.
Surface Area of Rectangular Prisms Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
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 3 meters on the left side vertically and 1.5 meters on the top horizontally. The second rectangle is labeled as 4 meters on the bottom. The fourth rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?
3 answers
Surface Area of Rectangular Prisms Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
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 bigger. The second and fourth are similar and smaller. The first rectangle is labeled 7 inches on the top horizontally. The second rectangle is labeled as 3 inches on the top and 5 inches vertically. The third rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
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 bigger. The second and fourth are similar and smaller. The first rectangle is labeled 7 inches on the top horizontally. The second rectangle is labeled as 3 inches on the top and 5 inches vertically. The third rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?
To find the surface area of the rectangular prism, we need to find the area of each of the 6 rectangles and then add them together.
1. The first rectangle has dimensions 7 inches x 5 inches, so its area is 7 inches x 5 inches = 35 square inches.
2. The second rectangle has dimensions 3 inches x 5 inches, so its area is 3 inches x 5 inches = 15 square inches.
3. The third rectangle is the same as the first, so its area is 35 square inches.
4. The fourth rectangle has dimensions 3 inches x 5 inches, so its area is 15 square inches.
5. The fifth rectangle has dimensions 7 inches x 3 inches, so its area is 7 inches x 3 inches = 21 square inches.
6. The sixth rectangle is the same as the fifth, so its area is 21 square inches.
Adding all the areas together: 35 + 15 + 35 + 15 + 21 + 21 = 142 square inches.
Therefore, the surface area of the rectangular prism is 142 square inches.
1. The first rectangle has dimensions 7 inches x 5 inches, so its area is 7 inches x 5 inches = 35 square inches.
2. The second rectangle has dimensions 3 inches x 5 inches, so its area is 3 inches x 5 inches = 15 square inches.
3. The third rectangle is the same as the first, so its area is 35 square inches.
4. The fourth rectangle has dimensions 3 inches x 5 inches, so its area is 15 square inches.
5. The fifth rectangle has dimensions 7 inches x 3 inches, so its area is 7 inches x 3 inches = 21 square inches.
6. The sixth rectangle is the same as the fifth, so its area is 21 square inches.
Adding all the areas together: 35 + 15 + 35 + 15 + 21 + 21 = 142 square inches.
Therefore, the surface area of the rectangular prism is 142 square inches.