Solve for the surface area of the rectangular prism.
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.
To find the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them all together.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 12 inches
Width (w) = 5 inches
Height (h) = 3 inches
Plugging in the values:
Surface Area = 2(12)(5) + 2(12)(3) + 2(5)(3)
Surface Area = 120 + 72 + 30
Surface Area = 222 square inches
Therefore, the surface area of the rectangular prism is 222 square inches.
What is the surface area of the cube?
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.
To find the surface area of a cube, we need to find the area of each of its six faces and then add them all together.
Since a cube has all sides of equal length, we can use the formula:
Surface Area = 6s^2
Given:
Side length (s) = 1.5 meters
Plugging in the value:
Surface Area = 6(1.5)^2
Surface Area = 6(2.25)
Surface Area = 13.5 square meters
Therefore, 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, we need to find the area of each of its six faces and then add them all together.
Since a cube has all sides of equal length, we can use the formula:
Surface Area = 6s^2
Given:
Side length (s) = 8 inches
Plugging in the value:
Surface Area = 6(8)^2
Surface Area = 6(64)
Surface Area = 384 square inches
Therefore, the surface area of the cube with a side length of 8 inches is 384 square inches.