Question

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)

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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a rectangular prism, you need to find the area of each of the six faces and then add them 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

Substitute the given values into the formula:
Surface Area = 2(12)(5) + 2(12)(3) + 2(5)(3)
Surface Area = 120 + 72 + 30
Surface Area = 222

Therefore, the surface area of the rectangular prism is 222 square inches.

Answer 2

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?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a cube, you need to find the area of each of its six square faces and then add them together.

Given:
Side length = 1.5 meters

Since a cube has all sides equal, the formula for finding the surface area of a cube is:
Surface Area = 6s^2

Substitute the value of the side length into the formula:
Surface Area = 6(1.5)^2
Surface Area = 6(2.25)
Surface Area = 13.5

Therefore, the surface area of the cube is 13.5 square meters.

Answer 4

What is the surface area of a cube with a side length of 8 inches?(1 point)

Responses

384 square inches
384 square inches

64 square inches
64 square inches

128 square inches
128 square inches

96 square inches

Answer 5

[AI-generated answer — Bot GPT 3.5]

Surface Area of a cube can be calculated using the formula:

Surface Area = 6s^2,
where s is the side length of the cube.

Given side length, s = 8 inches.

Substitute the value of the side length into the formula:
Surface Area = 6(8)^2
Surface Area = 6(64)
Surface Area = 384

Therefore, the surface area of a cube with a side length of 8 inches is 384 square inches.

So, the correct answer is:
384 square inches