Use the image to answer the question.

Question

An illustration shows a rectangular prism with its length measuring 17 centimeters, width measuring 10 centimeters, and height measuring 4 centimeters. The edges that are not visible are marked as dashed lines.

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

Answer 1

To find the surface area of a rectangular prism, we can use the formula:

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

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

From the dimensions given:

• Length (\( l \)) = 17 cm
• Width (\( w \)) = 10 cm
• Height (\( h \)) = 4 cm

Now, we can substitute these values into the formula:

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

Calculating each term step-by-step:

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

Now, add these products together:

\[ 170 + 68 + 40 = 278 \]

Next, multiply by 2 for the total surface area:

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

Therefore, the amount of wrapping paper Jerry needs is:

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