Use the image to answer the 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?
To find the amount of wrapping paper needed, we need to calculate the surface area of the rectangular prism.
First, find the area of the two sides that measure 17 cm by 10 cm:
17 cm x 10 cm = 170 cm² x 2 = 340 cm²
Next, find the area of the two sides that measure 17 cm by 4 cm:
17 cm x 4 cm = 68 cm² x 2 = 136 cm²
Then, find the area of the two sides that measure 10 cm by 4 cm:
10 cm x 4 cm = 40 cm² x 2 = 80 cm²
Add the areas of all the sides together to find the total surface area:
340 cm² + 136 cm² + 80 cm² = 556 cm²
Therefore, Jerry will need 556 cm² of wrapping paper to wrap the present.