Cut a cuboid of 7cm in length, 5cm in width and 3cm in height into the largest cube. What is the volume of the cube?

Cut a cuboid of 7cm in length, 5cm in width and 3cm in height into the largest cube. What is the volume of the cube?

The longest edge length of the cube should be the height of the cuboid, so 3 × 3 × 3 = 27 (cubic centimeter)

A cuboid is 8cm, 5cm and 4cm in length, width and height respectively. After cutting off the largest cube, the remaining volume is______ ．

8 × 5 × 4-4 × 4, = 160-64, = 96 (cubic centimeter); so the answer is: 96 cubic centimeter

If the height of a cuboid is shortened by 3 cm, it becomes a cube. At this time, the surface area is reduced by 48 square cm. What is the volume of the original cuboid? What's the surface area in square centimeters?

The width of the reduced surface (the edge length of the remaining cube) is 48 ／ 4 ／ 3 = 4 (CM); the height of the original cuboid is 4 + 3 = 7 (CM); the volume of the original cuboid is 4 × 4 × 7, = 16 × 7, = 112 (cubic cm); the surface area of the original cuboid is 4 × 4 × 2 + 4 × 7 × 4, = 16 × 2 + 28 × 4, = 32 + 112, = 144 (square cm). A: the volume of the original cuboid is 112 cubic cm, and the surface area is 144 square cm Rice