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

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:

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