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If the height of a cuboid is increased by 1 cm, it becomes a cube, and its surface area is increased by 36 square cm. The volume of the increased part is calculated
The surface area is increased by the side area. The surface area is increased by the area of four identical rectangles. The length of the rectangle is equal to the edge length and the width of the cube is equal to 1 cm
The edge length of the cube = the length of the cuboid = the width of the cuboid = 36 ﹣ 4 ﹣ 1 = 9 cm
The volume of the added part is 9 × 9 × 1 = 81 cubic centimeter
When the height of a cuboid is reduced by 3cm, it becomes a cube. Its surface area is reduced by 36cm. How much is the volume of the original cuboid
Suppose that the side length of the cube is a
Original surface area current surface area = 2 (A & # 178; + a (a + 3) + a (a + 3)) - 6A & # 178; = 12a = 36
a=3.
The original volume is a & # 178; (a + 3) = 54 cm3
If the height of a cuboid is reduced by 2 cm to become a cube, the surface area will be reduced by 48 square cm, and the volume of the cube is () cubic cm
A. 216B. 96C. 288D. 72
The original cuboid bottom side length is: 48 △ 4 △ 2, = 12 △ 2, = 6 (CM), the cuboid volume is: 6 × 6 × 6 = 216 (cm3); answer: the cuboid volume is 216 cm3
A mathematical problem: the surface area is 6 square centimeters of cube put together into a cuboid, cuboid volume is how much?
The volume of a cuboid = the volume of a cube
A cube with a surface area of 6 square centimeters indicates that its edge length is 1 cm
Volume = 1 * 1 * 1 = 1 (CC)
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