Question

Find the surface area of a textbook that is 2 in. × 14 in. × 9 in.

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of a rectangular prism can be found using the formula:

Surface Area = 2lw + 2lh + 2wh

Given the dimensions of the textbook:
l = 2 in.
w = 14 in.
h = 9 in.

Plugging in the values into the formula:
Surface Area = 2(2)(14) + 2(2)(9) + 2(14)(9)
Surface Area = 28 + 36 + 252
Surface Area = 316 square inches

Therefore, the surface area of the textbook is 316 square inches.

Answer 2

that isn't correct. there's something you don't need to consider

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. To find the surface area of the textbook, we need to find the surface area of all six sides and then sum them up.

Given dimensions:
Length (l) = 2 inches
Width (w) = 14 inches
Height (h) = 9 inches

Surface area of each of the 6 sides:
1. Front and back sides (l x h) = 2 x 9 = 18 sq in x 2 = 36 sq in
2. Top and bottom sides (w x l) = 14 x 2 = 28 sq in x 2 = 56 sq in
3. Side (l x w) = 2 x 14 = 28 sq in x 2 = 28 sq in

Adding these up:
36 + 56 + 28 = 120 square inches

Therefore, the correct surface area of the textbook is 120 square inches. Thank you for pointing out the error.

Answer 4

still incorrect

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the repeated mistakes. Let's calculate it again.

Given dimensions:
Length (l) = 2 inches
Width (w) = 14 inches
Height (h) = 9 inches

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

Plugging in the values:
Surface Area = 2(2)(14) + 2(2)(9) + 2(14)(9)
Surface Area = 28 + 36 + 252
Surface Area = 316 square inches

The correct surface area of the textbook is 316 square inches. Thank you for your patience.

Answer 6

STILL INCORRECT YOU'RE DOING IT WRONG

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the continued errors. Let's calculate it one more time.

Given dimensions:
Length (l) = 2 inches
Width (w) = 14 inches
Height (h) = 9 inches

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

Plugging in the values:
2(2)(14) + 2(2)(9) + 2(14)(9)
= 28 + 36 + 252
= 316 square inches

The correct surface area of the textbook is 316 square inches. Thank you for your patience and bringing the error to my attention.

Answer 8

the options are

344 in.²
50 in.²
252 in.²
172 in.²

you chose none of these. that means you're doing it completely wrong. so do the equation one by one and see if one of these answers comes up

Answer 9

[AI-generated answer — Bot GPT 3.5]

Let's calculate the surface area of the textbook using the formula for a rectangular prism:

Surface Area = 2lw + 2lh + 2wh

Given dimensions:
Length (l) = 2 inches
Width (w) = 14 inches
Height (h) = 9 inches

Now, we substitute these values into the formula and calculate step by step:

1. 2lw = 2(2)(14) = 56
2. 2lh = 2(2)(9) = 36
3. 2wh = 2(14)(9) = 252

Adding these up:
56 + 36 + 252 = 344 square inches

Therefore, the surface area of the textbook is 344 in.², which matches one of the given options. Thank you for your guidance.