Answer :
Answer:
60
Step-by-step explanation:
To determine how many cuboids Aliyah could completely cover with the given paint, we need to calculate the total surface area that one cuboid can cover.
The cuboid's dimensions are:
- Length = 10 cm
- Width = 7 cm
- Height = 20 cm
To find the total surface area of the cuboid, we calculate the sum of the areas of all its faces.
The formula for the surface area of a cuboid is:
Surface Area = 2lw + 2lh + 2wh
Given the dimensions of the cuboid:
- Length (l) = 10 cm
- Width (w) = 7 cm
- Height (h) = 20 cm
Substitute these values into the formula to find the total surface area covered by one cuboid:
Surface Area = 2(10)(7) + 2(10)(20) + 2(7)(20)
Surface Area = 140 + 400 + 280
Surface Area = 820 cm²
Now, to determine how many cuboids Aliyah could cover with the paint that covers 49,200 cm², we divide the total area to cover by the surface area of one cuboid:
Number of cuboids = 49200/820=60
Therefore, Aliyah could completely cover 60 cuboids like the one shown with the paint that covers 49,200 cm².
