The surface area of a rectangular prism is calculated by adding up the areas of all six faces of the prism.
The top and bottom faces each have an area of 10 inches * 9 inches = 90 square inches.
The front and back faces each have an area of 10 inches * 3 inches = 30 square inches.
The left and right faces each have an area of 9 inches * 3 inches = 27 square inches.
Adding up all these areas gives a total surface area of 2(90) + 2(30) + 2(27) = 180 + 60 + 54 = 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?
1$$ square inches
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11 answers
What does surface area measure?(1 point)
Responses
the outside of a three-dimensional shape
the outside of a three-dimensional shape
the inside of a three-dimensional shape
the inside of a three-dimensional shape
volume
volume
capacity
Responses
the outside of a three-dimensional shape
the outside of a three-dimensional shape
the inside of a three-dimensional shape
the inside of a three-dimensional shape
volume
volume
capacity
Surface area measures the outside of a three-dimensional shape.
How many two-dimensional shapes make up a rectangular prism? (1 point)
Responses
three
three
four
four
eight
eight
six
Responses
three
three
four
four
eight
eight
six
A rectangular prism is made up of six two-dimensional shapes: 1 top face, 1 bottom face, 1 front face, 1 back face, 1 left side face, and 1 right side face.
So, six two-dimensional shapes make up a rectangular prism.
So, six two-dimensional shapes make up a rectangular prism.
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.
(1 point)
Responses
111 square inches
111 square inches
222 square inches
222 square inches
180 square inches
180 square inches
270 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.
(1 point)
Responses
111 square inches
111 square inches
222 square inches
222 square inches
180 square inches
180 square inches
270 square inches
To find the surface area of the rectangular prism, we need to calculate the area of each face and add them up.
- The top and bottom faces have dimensions of 12 inches × 5 inches = 60 square inches each.
- The front and back faces have dimensions of 12 inches × 3 inches = 36 square inches each.
- The left and right faces have dimensions of 5 inches × 3 inches = 15 square inches each.
Adding all these together:
2(60) + 2(36) + 2(15) = 120 + 72 + 30 = 222 square inches.
Therefore, the surface area of the rectangular prism is 222 square inches.
- The top and bottom faces have dimensions of 12 inches × 5 inches = 60 square inches each.
- The front and back faces have dimensions of 12 inches × 3 inches = 36 square inches each.
- The left and right faces have dimensions of 5 inches × 3 inches = 15 square inches each.
Adding all these together:
2(60) + 2(36) + 2(15) = 120 + 72 + 30 = 222 square inches.
Therefore, the surface area of the rectangular prism is 222 square inches.
Use the image to answer the question.
An illustration shows a cube with side 1.5 meters. 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 cube?
(1 point)
Responses
13.5 square meters
13.5 square meters
27 square meters
27 square meters
4.5 square meters
4.5 square meters
18 square meters
An illustration shows a cube with side 1.5 meters. 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 cube?
(1 point)
Responses
13.5 square meters
13.5 square meters
27 square meters
27 square meters
4.5 square meters
4.5 square meters
18 square meters
To calculate the surface area of a cube, we need to find the area of all six faces.
Since all the sides of a cube are equal, if the side length is 1.5 meters, then each face is a square with an area of (1.5 m) x (1.5 m) = 2.25 square meters.
There are 6 faces in total, so the total surface area of the cube is 6 * 2.25 square meters = 13.5 square meters.
Therefore, the surface area of the cube is 13.5 square meters.
Since all the sides of a cube are equal, if the side length is 1.5 meters, then each face is a square with an area of (1.5 m) x (1.5 m) = 2.25 square meters.
There are 6 faces in total, so the total surface area of the cube is 6 * 2.25 square meters = 13.5 square meters.
Therefore, the surface area of the cube is 13.5 square meters.
that makes sense
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