Reduce the length of a cuboid by 5cm and turn it into a cube. The surface area of the cube is 60cm less than that of the original cuboid. What is the volume of the original cuboid?

Reduce the length of a cuboid by 5cm and turn it into a cube. The surface area of the cube is 60cm less than that of the original cuboid. What is the volume of the original cuboid?


The width of the reduced surface (the edge length of the remaining cube) is 60 / 4 / 5 = 3 (CM); the height of the original cuboid is 5 + 3 = 8 (CM); the volume of the original cuboid is 3 × 3 × 8 = 72 (cm3); a: the volume of the original cuboid is 72 cm3



A cylinder has a side area of 18.84 square centimeters, a height of 10 centimeters, a bottom area of () and a volume of () cubic decimeters


The radius of the bottom surface is: 18.84 ﹣ 10 ﹣ 3.14 ﹣ 2 = 0.3cm, the area of the bottom surface is: 3.14x0.3x0.3 = 0.2826 square cm, the volume is: 0.2826x10 = 2.826 cubic cm = 0.002826 cubic decimeter



The side area of a cylinder is 18.84 square centimeters, and the radius of its bottom area is 2 centimeters. What is its height?


18.84÷(2×2×3.14)
=18.84÷12.56
=1.5