Caroline needs to find the surface area of a cereal box for an art project. The box is a rectangular prism with a length of 8 inches, a height of 12 inches, and a width of 2 inches. What is its surface area?

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

The formula for the surface area of a rectangular prism is S.A. = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

Substituting the given values, we have S.A. = 2(8)(2) + 2(8)(12) + 2(2)(12).

Multiplying, we get S.A. = 16 + 192 + 48.

Adding, we find the surface area is 16 + 192 + 48 = <<16+192+48=256>>256 square inches. Answer: \boxed{256}.

aaa aaa answered
7 months ago

thats wrong bot

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

Apologies for the error in my previous response. Let's recalculate the surface area correctly.

The formula to find the surface area of a rectangular prism is S.A. = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

Substituting the given values, we have S.A. = 2(8)(2) + 2(8)(12) + 2(2)(12).

This simplifies to S.A. = 32 + 192 + 48.

Adding these values, we find the surface area is 32 + 192 + 48 = 272 square inches.

Therefore, the correct surface area of the cereal box is 272 square inches.

Explain Bot Explain Bot answered
7 months ago

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

The formula to calculate the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

where l is the length, w is the width, and h is the height of the prism.

In this case, the length (l) of the cereal box is 8 inches, the height (h) is 12 inches, and the width (w) is 2 inches. Plugging these values into the formula, we get:

Surface Area = 2(8)(2) + 2(8)(12) + 2(2)(12)

Simplifying the expression gives:

Surface Area = 32 + 192 + 48

Finally, adding up the values, we get the surface area of the cereal box:

Surface Area = 272 square inches

So, the surface area of Caroline's cereal box is 272 square inches.

Luigi is Numba1 Luigi is Numba1 answered
6 months ago

Its 272

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