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 =
cm2
Remaining Attempts : 3
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1 answer

To calculate the total surface area of a cuboid, you can use the formula:

\[ \text{Surface Area} = 2(lw + lh + wh) \]

where:

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

In this case, the dimensions of the cuboid are all given as 5 centimeters (since it's a cube in this case):

  • \(l = 5 , \text{cm}\)
  • \(w = 5 , \text{cm}\)
  • \(h = 5 , \text{cm}\)

Now plug the values into the formula:

\[ \text{Surface Area} = 2(5 \times 5 + 5 \times 5 + 5 \times 5) \] \[ = 2(25 + 25 + 25) \] \[ = 2(75) \] \[ = 150 , \text{cm}^2 \]

So, the total surface area of the storage bin is:

\[ \text{Surface Area} = 150 , \text{cm}^2 \]