Jerry wants to wrap a present in a box for his mother. The box measures 10 cm wide, 4 cm high, and 17 cm long. How much wrapping paper will Jerry need to wrap the present?

(1 point)
surface area=

cm2

1 answer

To calculate the surface area of the box, you can use the formula for the surface area of a rectangular prism, which is:

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

where:

  • \( l \) is the length,
  • \( w \) is the width, and
  • \( h \) is the height.

In this case:

  • \( l = 17 \) cm,
  • \( w = 10 \) cm,
  • \( h = 4 \) cm.

Now plug in the values:

\[ \text{Surface Area} = 2(17 \times 10 + 17 \times 4 + 10 \times 4) \]

Calculating each term:

  1. \( 17 \times 10 = 170 \)
  2. \( 17 \times 4 = 68 \)
  3. \( 10 \times 4 = 40 \)

Now sum these values:

\[ 170 + 68 + 40 = 278 \]

Finally, multiply by 2:

\[ \text{Surface Area} = 2 \times 278 = 556 , \text{cm}^2 \]

So, Jerry will need 556 cm² of wrapping paper to wrap the present.