Surface Area Unit Test

Question

7 of 167 of 16 Items

Question
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?

(1 point)
surface area =
cm2

Answer 1

The surface area of a rectangular prism can be calculated by adding up the areas of all its individual faces.

In this case, the rectangular prism has 6 faces:
- 2 faces with an area of 10 cm * 4 cm = 40 cm² each (top and bottom)
- 2 faces with an area of 17 cm * 4 cm = 68 cm² each (side faces)
- 2 faces with an area of 10 cm * 17 cm = 170 cm² each (front and back faces)

Adding up all these areas, the total surface area of the rectangular prism is:
40 cm² + 40 cm² + 68 cm² + 68 cm² + 170 cm² + 170 cm² = 556 cm²

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