Question

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 answer

To find the total surface area of the storage bin, we need to calculate the surface area of all six sides of the cuboid and then add them together.

The formula to calculate the surface area of a cuboid is:
2lw + 2lh + 2wh

Given that the length (l) = 5 cm, width (w) = 5 cm, and height (h) = 5 cm, we can substitute these values into the formula:
2(5)(5) + 2(5)(5) + 2(5)(5)
= 2(25) + 2(25) + 2(25)
= 50 + 50 + 50
= 150

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