The surface area of a rectangular prism can be calculated by finding the area of each face and then adding them up.
1. Area of the top and bottom faces (which are the same):
Area = length x width
Area = 10 inches x 9 inches
Area = 90 square inches
2. Area of the front and back faces (which are the same):
Area = length x height
Area = 10 inches x 3 inches
Area = 30 square inches
3. Area of the right and left faces (which are the same):
Area = width x height
Area = 9 inches x 3 inches
Area = 27 square inches
Now, add up the areas of all the faces to find the total surface area:
Total Surface Area = 2(top/bottom faces) + 2(front/back faces) + 2(right/left faces)
Total Surface Area = 2(90 square inches) + 2(30 square inches) + 2(27 square inches)
Total Surface Area = 180 square inches + 60 square inches + 54 square inches
Total Surface Area = 294 square inches
Therefore, the surface area of the rectangular prism is 294 square inches.
Use the image to answer the question
An illustration shows a rectangular prism with length 10 inches, width 9 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.
what is the surface area of the rectangular prism?
__ square inches
7 answers
What does surface area measure?
capacity
the outside of a three dimensional shape
the inside of a three dimensional shape
volume
capacity
the outside of a three dimensional shape
the inside of a three dimensional shape
volume
Surface area measures the outside of a three-dimensional shape. It is the total area of all the surfaces of the shape, including the top, bottom, front, back, left, and right sides.
use the image to answer the question
An illustration shows a rectangular prism with length 12 inches, width 5 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.
solve for the surface area of the rectangular prism.
270 square inches
111 square inches
222 square inches
180 square inches
An illustration shows a rectangular prism with length 12 inches, width 5 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.
solve for the surface area of the rectangular prism.
270 square inches
111 square inches
222 square inches
180 square inches
To find the surface area of the rectangular prism, we need to calculate the area of each face and then add them together.
1. Area of the top and bottom faces:
Area = length x width
Area = 12 inches x 5 inches
Area = 60 square inches
2. Area of the front and back faces:
Area = length x height
Area = 12 inches x 3 inches
Area = 36 square inches
3. Area of the right and left faces:
Area = width x height
Area = 5 inches x 3 inches
Area = 15 square inches
Now, add up the areas of all the faces to find the total surface area:
Total Surface Area = 2(top/bottom faces) + 2(front/back faces) + 2(right/left faces)
Total Surface Area = 2(60 square inches) + 2(36 square inches) + 2(15 square inches)
Total Surface Area = 120 square inches + 72 square inches + 30 square inches
Total Surface Area = 222 square inches
Therefore, the surface area of the rectangular prism is 222 square inches.
So, the correct answer is: 222 square inches.
1. Area of the top and bottom faces:
Area = length x width
Area = 12 inches x 5 inches
Area = 60 square inches
2. Area of the front and back faces:
Area = length x height
Area = 12 inches x 3 inches
Area = 36 square inches
3. Area of the right and left faces:
Area = width x height
Area = 5 inches x 3 inches
Area = 15 square inches
Now, add up the areas of all the faces to find the total surface area:
Total Surface Area = 2(top/bottom faces) + 2(front/back faces) + 2(right/left faces)
Total Surface Area = 2(60 square inches) + 2(36 square inches) + 2(15 square inches)
Total Surface Area = 120 square inches + 72 square inches + 30 square inches
Total Surface Area = 222 square inches
Therefore, the surface area of the rectangular prism is 222 square inches.
So, the correct answer is: 222 square inches.
you sure thats right?
I apologize for the error in my previous response. Let's correct it:
1. Area of the top and bottom faces:
Area = length x width
Area = 12 inches x 5 inches
Area = 60 square inches
2. Area of the front and back faces:
Area = length x height
Area = 12 inches x 3 inches
Area = 36 square inches
3. Area of the right and left faces:
Area = width x height
Area = 5 inches x 3 inches
Area = 15 square inches
Now, add up the areas of all the faces to find the total surface area:
Total Surface Area = 2(top/bottom faces) + 2(front/back faces) + 2(right/left faces)
Total Surface Area = 2(60 square inches) + 2(36 square inches) + 2(15 square inches)
Total Surface Area = 120 square inches + 72 square inches + 30 square inches
Total Surface Area = 222 square inches
Therefore, the correct surface area of the rectangular prism is 222 square inches. Thank you for pointing out the error.
1. Area of the top and bottom faces:
Area = length x width
Area = 12 inches x 5 inches
Area = 60 square inches
2. Area of the front and back faces:
Area = length x height
Area = 12 inches x 3 inches
Area = 36 square inches
3. Area of the right and left faces:
Area = width x height
Area = 5 inches x 3 inches
Area = 15 square inches
Now, add up the areas of all the faces to find the total surface area:
Total Surface Area = 2(top/bottom faces) + 2(front/back faces) + 2(right/left faces)
Total Surface Area = 2(60 square inches) + 2(36 square inches) + 2(15 square inches)
Total Surface Area = 120 square inches + 72 square inches + 30 square inches
Total Surface Area = 222 square inches
Therefore, the correct surface area of the rectangular prism is 222 square inches. Thank you for pointing out the error.