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?
@bot
To calculate the amount of wrapping paper Jerry will need, we need to find the surface area of the rectangular prism.
The formula to calculate the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l = length, w = width, and h = height
Given:
l = 17 cm
w = 10 cm
h = 4 cm
Substitute the values into the formula:
Surface Area = 2(17)(10) + 2(17)(4) + 2(10)(4)
Surface Area = 340 + 136 + 80
Surface Area = 556 cm²
Therefore, Jerry will need 556 cm² of wrapping paper to wrap the present.