To find the surface area of the rectangular prism, we need to calculate the area of each of the six faces and then add them together.
The area of the top and bottom faces:
- Area = length * width = 12 in * 5 in = 60 sq in (each)
- Total area for top and bottom = 2 * 60 sq in = 120 sq in
The area of the front and back faces:
- Area = length * height = 12 in * 3 in = 36 sq in (each)
- Total area for front and back = 2 * 36 sq in = 72 sq in
The area of the right and left faces:
- Area = width * height = 5 in * 3 in = 15 sq in (each)
- Total area for right and left = 2 * 15 sq in = 30 sq in
Adding all the areas together:
- Total surface area = 120 sq in + 72 sq in + 30 sq in = 222 sq in
So, the surface area of the rectangular prism is 222 square inches.
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)
5 answers
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
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
To find the surface area of the cube, we need to calculate the area of each of the six faces and then add them together.
Since all sides of a cube are the same length, we can use the formula:
Area = 6 * (side length)^2
Given that the side length is 1.5 meters:
Area = 6 * (1.5 m)^2
Area = 6 * 2.25 m^2
Area = 13.5 m^2
So, the surface area of the cube is 13.5 square meters.
Since all sides of a cube are the same length, we can use the formula:
Area = 6 * (side length)^2
Given that the side length is 1.5 meters:
Area = 6 * (1.5 m)^2
Area = 6 * 2.25 m^2
Area = 13.5 m^2
So, the surface area of the cube is 13.5 square meters.
What is the surface area of a cube with a side length of 8 inches?(1 point)
To find the surface area of a cube with a side length of 8 inches, we can use the formula:
Surface Area = 6 * (side length)^2
Given that the side length is 8 inches:
Surface Area = 6 * (8 inches)^2
Surface Area = 6 * 64 square inches
Surface Area = 384 square inches
Therefore, the surface area of a cube with a side length of 8 inches is 384 square inches.
Surface Area = 6 * (side length)^2
Given that the side length is 8 inches:
Surface Area = 6 * (8 inches)^2
Surface Area = 6 * 64 square inches
Surface Area = 384 square inches
Therefore, the surface area of a cube with a side length of 8 inches is 384 square inches.