Question

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
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1 answer

To find the total surface area of the storage bin, we need to calculate the areas of all six faces and then add them together.

Since all the faces of a cuboid are rectangles, we can use the formula for the area of a rectangle, which is length multiplied by width.

First, calculate the area of the bottom face:
Area = length x width
Area = 5 cm x 5 cm
Area = 25 cm^2

Next, calculate the area of the top face (which is the same as the bottom face):
Area = 25 cm^2

Now, calculate the area of the front face:
Area = height x length
Area = 5 cm x 5 cm
Area = 25 cm^2

Next, calculate the area of the back face (which is the same as the front face):
Area = 25 cm^2

Now, calculate the area of the left side face:
Area = height x width
Area = 5 cm x 5 cm
Area = 25 cm^2

Finally, calculate the area of the right side face (which is the same as the left side face):
Area = 25 cm^2

Add up all the individual areas to find the total surface area of the storage bin:
Total surface area = 25 cm^2 + 25 cm^2 + 25 cm^2 + 25 cm^2 + 25 cm^2 + 25 cm^2
Total surface area = 150 cm^2

Therefore, the total surface area of the storage bin is 150 cm^2.