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A cube has a surface area of 360 square centimeters. Cut it into two identical cubes. What is the surface area of each cuboid?
After a cube is cut into two identical cubes, the sum of the surface areas of the two cubes is two more faces than the original cube.
Therefore, the surface area of each cuboid = the area of the four faces of the cuboid
Square body area =360÷6=60(cm2)
Surface area per cuboid =60×4=240 cm2
After a cube is cut into two identical cubes, the sum of the surface areas of the two cubes is two more faces than the original cube.
Therefore, the surface area of each cuboid = the area of 4 faces of the cuboid
Square body area =360÷6=60(cm2)
Surface area per cuboid =60×4=240 cm2
A cuboid has a surface area of 160 square centimeters and can be cut into exactly two identical cubes, each of which
Since that cuboid can be cut into cube,
So you know the width=height=half the length of the box
Set the width to acm and the length to 2 acm
The cuboid has a surface area of 2(a^2+a^2+2a*a)=160 and a^2=20
So a cube has an area of 20 cubic centimeters per side, and a surface area of 120 square centimeters.
Since that cuboid can be cut into cube,
So you know the width of the box = height = half the length
Set the width to acm and the length to 2 acm
The cuboid has a surface area of 2(a^2+a^2+2a*a)=160 and a^2=20
So a cube has an area of 20 cubic centimeters per side, and a surface area of 120 square centimeters.
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