Find the surface area of a textbook that is 2 in. × 14 in. × 9 in. 2 in. × 14 in. × 9 in.(1 point)

50 in.
2 50 in.
2
344 in.
2 344 in.
2
252 in.
2 252 in.
2
172 in.
2

1 answer

To find the surface area of a rectangular prism (like a textbook), you can use the formula:

Surface Area=2lw+2lh+2wh

where:

  • l is the length,
  • w is the width,
  • h is the height.

For the given dimensions of the textbook:

  • l=14 in,
  • w=9 in,
  • h=2 in.

Now substituting these values into the formula:

Surface Area=2(14)(9)+2(14)(2)+2(9)(2)

Calculating each term:

  1. 2(14)(9)=2×126=252
  2. 2(14)(2)=2×28=56
  3. 2(9)(2)=2×18=36

Now adding these values together:

Surface Area=252+56+36=344,in2

Thus, the surface area of the textbook is 344,in2.

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