What does surface area measure?
A. capacity
B. the inside of a three-dimensional shape
C. the outside of a three-dimensional shape
D. volume
C. the outside of a three-dimensional shape
How many two-dimensional shapes make up a rectangular prism?
A. eight
B. six
C. three
D. four
B. six
A rectangular prism is made up of 6 rectangular faces.
Solve for the surface area of the rectangular prism.
A. 180 square inches
B. 111 square inches
C. 222 square inches
D. 270 square inches
the rectangle has the numbers 12 inches, 5 inches, and 3 inches on it
Given the dimensions provided for the rectangle:
Length = 12 inches
Width = 5 inches
Height = 3 inches
To calculate the surface area of the rectangular prism, we need to find the area of each face and then sum them up.
The six faces of the rectangular prism are:
1. Two faces with dimensions 12 inches by 5 inches (front and back faces)
2. Two faces with dimensions 12 inches by 3 inches (top and bottom faces)
3. Two faces with dimensions 5 inches by 3 inches (side faces)
Calculate the areas of each face:
1. Front and back faces: 2 * (12 inches * 5 inches) = 2 * 60 = 120 square inches
2. Top and bottom faces: 2 * (12 inches * 3 inches) = 2 * 36 = 72 square inches
3. Side faces: 2 * (5 inches * 3 inches) = 2 * 15 = 30 square inches
Now summing up the areas of all the faces:
120 (front and back) + 72 (top and bottom) + 30 (side) = 222 square inches
Therefore, the correct answer is C. 222 square inches.
cube has 1.5 m on it
What is the surface area of the cube?
A. 4.5 square meters
B. 27 square meters
C. 13.5 square meters
D. 18 square meters
Given that each side of the cube measures 1.5 meters, we know that all sides of the cube are equal in length.
To find the surface area of a cube, you need to sum the area of all 6 faces.
The area of a single face of the cube is found by squaring the length of one side:
Area of one face = (1.5 m)^2 = 2.25 square meters
Since there are 6 faces on a cube, we multiply the area of one face by 6 to get the total surface area of the cube:
Total surface area = 6 * 2.25 square meters = 13.5 square meters
Therefore, the correct answer is C. 13.5 square meters.
What is the surface area of a cube with a side length of 8 inches?
A. 96 square inches
B. 64 square inches
C. 128 square inches
D. 384 square inches
Given that each side of the cube measures 8 inches, we know that all sides of the cube are equal in length.
To find the surface area of a cube, you need to sum the area of all 6 faces.
The area of a single face of the cube is found by squaring the length of one side:
Area of one face = (8 inches)^2 = 64 square inches
Since there are 6 faces on a cube, we multiply the area of one face by 6 to get the total surface area of the cube:
Total surface area = 6 * 64 square inches = 384 square inches
Therefore, the correct answer is D. 384 square inches.