What does surface area measure?(1 point)
Responses
volume
volume
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
capacity
The outside of a three-dimensional shape
How many two-dimensional shapes make up a rectangular prism? (1 point)
Responses
three
three
eight
eight
six
six
four
Six
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
270 square inches
270 square inches
111 square inches
111 square inches
222 square inches
222 square inches
180 square inches
The surface area of a rectangular prism is calculated by adding the areas of all its faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Given:
Length (l) = 12 inches
Width (w) = 5 inches
Height (h) = 3 inches
Substitute the values into the formula:
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?
(1 point)
Responses
4.5 square meters
4.5 square meters
18 square meters
18 square meters
27 square meters
27 square meters
13.5 square meters
To find the surface area of a cube, we need to know the length of one side. The surface area of a cube is given by the formula 6s^2, where s is the length of a side.
Since a cube has all sides equal in length, we need to know the length of one side to determine the surface area.
Without the length of a side provided, we cannot calculate the surface area accurately.
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
4.5 square meters
4.5 square meters
18 square meters
18 square meters
27 square meters
27 square meters
13.5 square meters
13.5 square meters
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To calculate the surface area of a cube with side length 1.5 meters, we can use the formula: Surface Area = 6s^2, where s is the side length.
Given:
Side length (s) = 1.5 meters
Substitute the value into the formula:
Surface Area = 6(1.5)^2
Surface Area = 6(2.25)
Surface Area = 13.5 square meters
Therefore, the surface area of the cube with a side length of 1.5 meters is 13.5 square meters.
What is the surface area of a cube with a side length of 8 inches?(1 point)
Responses
128 square inches
128 square inches
384 square inches
384 square inches
96 square inches
96 square inches
64 square inches