What does surface area measure?
11 answers
Surface area measures the total area that the surface of a three-dimensional object occupies. In other words, it is the sum of the areas of all the surfaces of an object. It is usually measured in square units such as square meters or square centimeters. For example, the surface area of a cube can be found by adding up the areas of all six faces.
What does surface area measure?
capacity
the inside of a three-dimensional shape
volume
the outside of a three-dimensional shape
capacity
the inside of a three-dimensional shape
volume
the outside of a three-dimensional shape
The surface area measures the outside of a three-dimensional shape.
How many two-dimensional shapes make up a rectangular prism?
eight
four
three
six
eight
four
three
six
A rectangular prism is made up of six two-dimensional shapes. These include:
- Two rectangular faces
- Two square faces (if the rectangular prism is a cube)
- Two rectangular faces that are opposite to each other and have the same size as the other two
Together, these six faces make up the surface area of the rectangular prism.
- Two rectangular faces
- Two square faces (if the rectangular prism is a cube)
- Two rectangular faces that are opposite to each other and have the same size as the other two
Together, these six faces make up the surface area of the 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.
111 square inches
180 square inches
270 square inches
222 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.
111 square inches
180 square inches
270 square inches
222 square inches
To solve for the surface area of the rectangular prism, we need to add up the areas of all six faces.
One pair of opposite faces has an area of (12 x 5) = 60 square inches.
Another pair of opposite faces has an area of (5 x 3) = 15 square inches.
The last pair of opposite faces has an area of (12 x 3) = 36 square inches.
Therefore, the total surface area of the rectangular prism is:
60 + 60 + 15 + 15 + 36 + 36 = 222 square inches.
So the answer is 222 square inches.
One pair of opposite faces has an area of (12 x 5) = 60 square inches.
Another pair of opposite faces has an area of (5 x 3) = 15 square inches.
The last pair of opposite faces has an area of (12 x 3) = 36 square inches.
Therefore, the total surface area of the rectangular prism is:
60 + 60 + 15 + 15 + 36 + 36 = 222 square inches.
So the answer is 222 square inches.
Surface Area of Cubes & Rectangular Prisms Quick Check
4 of 54 of 5 Items
Question
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?
13.5 square meters
27 square meters
18 square meters
4.5 square meters
4 of 54 of 5 Items
Question
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?
13.5 square meters
27 square meters
18 square meters
4.5 square meters
To find the surface area of the cube, we need to find the area of each face and then add them together.
Each face has a side length of 1.5 meters, so the area of each face is:
(1.5 m) x (1.5 m) = 2.25 square meters
Since there are six faces, we multiply the area of one face by 6 to get the total surface area:
2.25 sq. m x 6 = 13.5 square meters
Therefore, the surface area of the cube is 13.5 square meters.
So the answer is 13.5 square meters.
Each face has a side length of 1.5 meters, so the area of each face is:
(1.5 m) x (1.5 m) = 2.25 square meters
Since there are six faces, we multiply the area of one face by 6 to get the total surface area:
2.25 sq. m x 6 = 13.5 square meters
Therefore, the surface area of the cube is 13.5 square meters.
So the answer is 13.5 square meters.
What is the surface area of a cube with a side length of 8 inches?
96 square inches
64 square inches
128 square inches
384 square inches
96 square inches
64 square inches
128 square inches
384 square inches
To find the surface area of a cube with a side length of 8 inches, we need to find the area of each face (all faces in a cube are identical) and then add them together.
Each face has a side length of 8 inches, so the area of each face is:
8 in x 8 in = 64 square inches
Since there are six faces, we multiply the area of one face by 6 to get the total surface area:
64 sq. in x 6 = 384 square inches
Therefore, the surface area of the cube is 384 square inches.
So the answer is 384 square inches.
Each face has a side length of 8 inches, so the area of each face is:
8 in x 8 in = 64 square inches
Since there are six faces, we multiply the area of one face by 6 to get the total surface area:
64 sq. in x 6 = 384 square inches
Therefore, the surface area of the cube is 384 square inches.
So the answer is 384 square inches.
1 answer