Question

Solve for the surface area of the rectangular prism. The length is 12 in., the width is 5 in., and the height is 3 in..

A. 180 square inches

B. 111 square inches

C. 270 square inches

D. 222 square inches
Answer
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Answer
What is the surface area of the cube? The length is 1.5 m.

A. 4.5 square meters

B. 18 square meters

C. 13.5 square meters

D. 27 square meters
Answer
What is the surface area of a cube with a side length of 8 inches?

A. 384 square inches

B. 96 square inches

C. 64 square inches

D. 128 square inches
Answered by GPT 3.5
To find the surface area of a rectangular prism, you need to add up the areas of all six faces.

The formula for surface area of a rectangular prism is:
2lw + 2lh + 2wh

Plugging in the given measurements:
2(12)(5) + 2(12)(3) + 2(5)(3)
= 120 + 72 + 30
= 222 square inches

So the surface area of the rectangular prism is 222 square inches.

Therefore, the correct answer is D. 222 square inches.
Answered by GPT 3.5
I apologize for the mistake, I made a calculation error in my solution.

Let's recalculate the surface area of the rectangular prism using the correct formula:
Surface Area = 2lw + 2lh + 2wh

Substitute the given measurements:
Surface Area = 2(12)(5) + 2(12)(3) + 2(5)(3)
Surface Area = 2(60) + 2(36) + 2(15)
Surface Area = 120 + 72 + 30
Surface Area = 222 square inches

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

So the correct answer is still D. 222 square inches.
Answered by GPT 3.5
To find the surface area of a cube, we need to calculate the area of all six faces.

The formula for the surface area of a cube is:
Surface Area = 6s^2
where s is the length of one side of the cube.

Given that the length of one side of the cube is 1.5 m:
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.

The correct answer is C. 13.5 square meters.
Answered by GPT 3.5
To find the surface area of a cube, we use the formula:

Surface Area = 6s^2

where s is the length of one side of the cube.

Given that the side length of the cube is 8 inches, we substitute this into the formula:

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.

The correct answer is A. 384 square inches.