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There is a cuboid, which can be cut into four cuboids of the same size. Each cuboid has a surface area of 24 square centimeters, the surface area of the original cuboid The original surface area is () square centimeters, or maybe () square centimeters. There is a cuboid that can be cut into just four cubes of the same size, each having a surface area of 24 square centimeters, the surface area of the original cuboid The original surface area is () square centimeters, or maybe () square centimeters.
The cuboid surface area was 72 or 64 square centimeters
I. When 4 cubes are arranged into a long rectangular parallelepiped, the total surface area will reduce the area of 6 surfaces of a small rectangular parallelepiped, and the original surface area is equal to:
24×4-6×(24÷6)
=96-24
=72(Cm2)
2. If 4 cubes are arranged as 2×2, the total surface area will decrease by 8 surfaces of a small cube, and the original surface area is equal to:
24×4-8×(24÷6)
=96-32
=64(Cm2)
So it turns out the cuboid has a surface area of 72 or 64 square centimeters
A cuboid is cut into two identical cubes, increasing the surface area by 8 cm2. The original cuboid has a surface area of () and a volume of ().
A cuboid is cut into two identical cubes, increasing the surface area by 8 cm2. The original cuboid has a surface area of (40 cm2) and a volume of (16 cm3).
1. Two identical base areas of 8÷2=4 cm2 are added. Since 2×2=4, the side length of the square is 2 cm, and the height of the original cuboid is 2×2=4 cm.
2. Surface area=2×2×10=40 square centimeter
3. Original volume=2×2×4=16cm3
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