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)
surface area= __ cm^2

1 answer

To calculate the total surface area \( S \) of a cuboid, you can use the formula:

\[ S = 2lw + 2lh + 2wh \]

where:

  • \( l \) is the length,
  • \( w \) is the width,
  • \( h \) is the height.

In this case, the length, width, and height of the cuboid are all 5 centimeters.

Substituting the values into the formula:

\[ S = 2(5)(5) + 2(5)(5) + 2(5)(5) \]

Calculating each term:

\[ = 2(25) + 2(25) + 2(25) \] \[ = 50 + 50 + 50 \] \[ = 150 , \text{cm}^2 \]

Thus, the total surface area of the storage bin is \( \text{surface area} = 150 , \text{cm}^2 \).