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.

Question

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

Answer 1

To find the total surface area of a cuboid, we can use the formula:

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

where \(l\) is the length, \(w\) is the width, and \(h\) is the height. In this case, we have:

• Length (\(l\)) = 5 cm
• Width (\(w\)) = 5 cm
• Height (\(h\)) = 5 cm

Now, substitute these values into the formula:

\[ \text{Surface Area} = 2(5 \times 5 + 5 \times 5 + 5 \times 5) \]

Calculating each term inside the parentheses:

1. \(5 \times 5 = 25\)
2. \(5 \times 5 = 25\)
3. \(5 \times 5 = 25\)

Adding those together:

\[ 25 + 25 + 25 = 75 \]

Now, multiply by 2:

\[ \text{Surface Area} = 2 \times 75 = 150 , \text{cm}^2 \]

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

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