Use the image to answer the question.

An illustration shows a 3 D cuboid with length, width, and height marked as 5 centimeters. The edges that are not visible are marked as dashed lines.

Manny created a storage bin for the family to hold the remote control and cell phone cords. What is the total surface area of the storage bin?

(1 point)

1 answer

The total surface area of the storage bin can be calculated by finding the area of each of the six faces and adding them together.

Since the storage bin is a cuboid with dimensions: length = 5 cm, width = 5 cm, height = 5 cm.

The formula for the total surface area of a cuboid is:
Total Surface Area = 2lw + 2lh + 2wh

Plugging in the values:
Total Surface Area = 2(5*5) + 2(5*5) + 2(5*5)
Total Surface Area = 2(25) + 2(25) + 2(25)
Total Surface Area = 50 + 50 + 50
Total Surface Area = 150 square centimeters

Therefore, the total surface area of the storage bin is 150 square centimeters.