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

Question

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

Answer 1

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

\[ \text{Surface Area} = 2lw + 2lh + 2wh \]

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:

\[ \text{Surface Area} = 2(14)(9) + 2(14)(2) + 2(9)(2) \]

Calculating each term:

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

Now adding these values together:

\[ \text{Surface Area} = 252 + 56 + 36 = 344 , \text{in}^2 \]

Thus, the surface area of the textbook is \( \boxed{344 , \text{in}^2} \).