After three cubes with equal edge length are put together into a cuboid, the surface area is reduced by 100 square centimeters. What is the volume of the cuboid? 375 cubic centimeters

After three cubes with equal edge length are put together into a cuboid, the surface area is reduced by 100 square centimeters. What is the volume of the cuboid? 375 cubic centimeters

The surface area reduces the area of four squares whose sides are equal to the edge length of the cube
The area of a square is 100 △ 4 = 25 square centimeters
5×5=25
The edge length of a cube is 5cm, and the volume of a cuboid is equal to the sum of the volumes of three cubes whose edge length is 5cm
The volume of this cuboid is 5 × 5 × 5 × 3 = 375 cubic centimeters

After three cubes with equal edge length are put together into a cuboid, the surface area is reduced by 100 square centimeters. What is the volume of the cuboid?

The decrease of surface area is due to the lack of four faces, so the area of one face of cube is 100 △ 4 = 25 (CM & # 178;)
The edge length of cube is 5 (CM)
So the volume is:
25 × （5 × 3 ）
= 25 × 15
= 375（cm³）
A: the volume of this cuboid is 375 cubic centimeters

Put a square tin box with the sum of the edge lengths of 12 meters on the ground. The floor area is (), and the space occupied is (),
At least how much sheet metal does such a tin case need

Put a square tin box with the sum of edge lengths of 12 meters on the ground, the floor area is (1 square meter), and the space is (1 cubic meter). How many iron sheets (6 square meters) does such a tin box need at least
12 △ 12 = 1m
Floor area: 1x1 = 1m2
Space: 1x1x1 = 1m3
Iron sheet area: 1x1x6 = 6m2