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If the height of a cube is increased by 4cm, it will become a cuboid. The surface area of this cuboid is just 80cm larger than that of the original cube Can you work out the surface area of a cube?
The length of cube is 80 △ 4 △ 4 = 5cm
The surface area of cube is 5 × 5 × 6 = 150 square centimeter
When the height of a cuboid is reduced by 3 cm, it becomes a cube. The surface area is reduced by 36 square cm. What is the volume of the cuboid?
What is the perimeter of the base of the cuboid
36 △ 3 = 12 cm
What is the length and width of a cuboid
12 △ 4 = 3cm
What is the height of a cuboid
3 + 3 = 6cm
What is the volume of a cuboid
3 × 3 × 6 = 54 CC
When the height of a cuboid is reduced by 3 cm, it becomes a cube. The surface area is reduced by 36 square cm. What is the volume of the cuboid?
This is the second unit of sixth grade mathematics in Huanggang secret volume. The answer must be complete and there must be a calculation process
So simple?
Listen: first of all, don't write it down
Reduce 3cm, one base and one base add subtract offset. It's a cube again,
The length is equal to the width
Calculation and test: 36 / 4 = 9 square centimeter, 9 square centimeter on each side, 9 = 3 * 3
It's 3cm long, 3cm wide and 6cm high
3 * 3 * 6 = 54 square centimeters
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