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The surface area of a cuboid is 810 square centimeters. It can be cut into two identical cubes. What's the volume of this cuboid? Our teacher is very fierce
If a cuboid is regarded as a combination of two cubes, there are 10 faces in addition to the joint faces, then the area of each face of the cube is:
810 △ 10 = 81 (square centimeter)
√81＝9
(in primary school, 81 = 9 * 9 can be used)
Volume of the cuboid:
81 × 9 × 2 = 1458 (cm3)
The surface area of a cuboid is 810 square centimeters. It can be cut into two identical cubes. What is the volume of this cuboid
810 divided by 10 = 81 square centimeter cube area 81 = 9 × 9 cube edge length is 9 centimeter cuboid Volume 9 × 9 × 9 × 2 = 1458 cubic meter
A cuboid is cut into two same cubes, the surface area is increased by 8 square centimeters, the surface area of the original cuboid is (), the volume is ()
A cuboid is cut into two same cubes, the surface area is increased by 8 square centimeters, the surface area of the original cuboid is (40 square centimeters), the volume is (16 cubic centimeters)
1. Two identical base areas are added, which are 8 △ 2 = 4 square centimeters. Because 2 × 2 = 4, the side length of the square is 2 centimeters, and the height of the original cuboid is 2 × 2 = 4 centimeters
2. Surface area = 2 × 2 × 10 = 40 square meters
3. Original volume = 2 × 2 × 4 = 16 cm3
The surface area of a cuboid is 80 square centimeters. If you divide it evenly, it will become two identical cubes. What is the surface area of each cube?
80 ÷ (4 × 2 + 2) = 8 square centimeter
The surface area of each cube is 8 × 6 = 48 square centimeters
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