Use the image to answer the question.

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 calculate the total surface area of a cuboid (rectangular prism), you 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 of the cuboid. In this case, all dimensions are marked as 5 centimeters.

So, we have:

• \( l = 5 \) cm
• \( w = 5 \) cm
• \( h = 5 \) cm

Now, let's plug these values into the formula:

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

Calculating each term inside the parentheses:

• \( 5 \times 5 = 25 \)

Now substitute back into the equation:

\[ \text{Surface Area} = 2(25 + 25 + 25) \]

Which simplifies to:

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

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

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