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

(1 point)

9 answers

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.
that isn't correct. there's something you don't need to consider
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.
still incorrect
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.
STILL INCORRECT YOU'RE DOING IT WRONG
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.
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
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.
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