Calculate the surface area of the box shown in the diagram.
Pay attention to the units of measure!
Calculate the surface area of the box shown in the diagram.
Pay attention to the units of measure!
To solve this problem, we'll follow these steps:
Step 1: Convert all dimensions to the same unit.
Step 2: Apply the surface area formula for a cuboid.
Step 3: Calculate the total surface area.
Now, let's work through each step:
Step 1: Convert all dimensions to the same unit. For consistency, we will convert everything to decimeters (dm):
Width = 5 dm (already in dm)
Height = 4 cm. To convert cm to dm, divide by 10: .
Depth = 0.3 dm (already in dm)
Step 2: Apply the surface area formula for a cuboid:
The surface area is given by:
Where:
(depth)
(width)
(height converted to dm)
Substitute these values into the formula:
Step 3: Calculate the surface area:
Note that the question requires the surface area in different units.
Thus, 7.24 dm² is 72.4 cm²
Therefore, the solution to the problem is 72.4 cm².
72.4 cm²