The surface area of a cuboid is 60cm2. Now we just saw it into two equal cubes. What's the surface area of each cube?

The surface area of a cuboid is 60cm2. Now we just saw it into two equal cubes. What's the surface area of each cube?


A: the surface area of each cube is 36 square centimeters



The surface area of a cuboid is 60cm2. Now we just saw it into two equal cubes. What's the surface area of each cube?


A: the surface area of each cube is 36 square centimeters



A cuboid block of wood can be sawn into five cubes of the same size. The sum of the surface areas of the five cubes is 32 square percent larger than that of the original cuboid
What is the surface area of the cuboid in square centimeter?


Sawing into 5 cubes means sawing 5-1 = 4 times on the rectangular block, then each time there are two more square faces, a total of 4x2 = 8 square faces. Then the area of each square face is 32 ÷ 8 = 4 (square centimeter), five cubes of the same size have a total of 6X5 = 30 such faces, while the surface area of the cuboid is only 30-8 = 22



A cuboid wood block can be sawed into five cubes of the same size. The sum of the surface areas of the five cubes is 32 square meters larger than that of the original cuboid
Cm, how many square centimeters is the surface area of the original cuboid?


If it is divided into five cubes of the same size, eight faces are added
The area of each face is 32 * 8 = 4,
The side length of each cube is 2
The original cuboid length is 2 * 5 = 10
The surface area is 4 * 2 + 10 * 2 * 4 = 88



When the height of a cuboid is increased by 5 meters, it becomes a cube, and its surface area is increased by 160 square meters. The volume of the original cuboid is () cubic meters. The largest surface is surrounded by () and (), and the smallest surface has () faces


When the height of the cuboid is increased by 5 meters, it becomes a cube, and its surface area is increased by 4 cuboids
Area of each rectangle: 160 △ 4 = 40 (M2)
Edge length of cube: 40 △ 5 = 8 (m)
The length and width of the cuboid are 8 meters; the height is 8-5 = 3 (meters)
The original cuboid volume is: 8 × 8 × 3 = 192 (cubic meters)
Because the area of the upper and lower bottom surfaces of the original cuboid is 8 × 8, and the area of the four sides is 8 × 3,
The largest surface is surrounded by (length) and (width), and the smallest surface has (4)



When the cuboid is 5 cm long, it becomes a cube, and the surface area increases by 160 cm2?


Let the edge length of the cube be a, and the length, width and height of the cuboid be a-5, a, a
The surface area of cube is 6A ^ 2, the surface area of cuboid is 4a (a-5) + 2A ^ 2
6a^2-4a(a-5)-2a^2=160
20a=160
a=8
Original cuboid volume = 8 * 8 * 3 = 192 cm ^ 3



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



When the height of a cuboid is reduced by 3 cm, it becomes a cube, and its surface area is reduced by 72 cm. What are the surface area and volume of the cuboid?


This cuboid is a square with two sides, and the other four sides are equal cuboids, that is, the length and width are equal. After cutting off 3cm, the reduced area is four cuboids. The area of a rectangle is 72 / 4 = 18 (square centimeter) 18 / 3 = 6 (centimeter) is the length and width of this cuboid. The height of the original cuboid is 3 + 6 =



If the height of a cuboid is increased by 2cm, it becomes a cube. At this time, the surface area is increased by 72cm_ &The volume of the original cuboid is______ cm_  .


72 / 2 = 36 (CM), 36 / 4 = 9 (CM), 9-2 = 7 (CM), 9 × 9 × 7 = 567 (cm3); answer: the volume of this cuboid is 567 cm3. So the answer is: 567 cm3



A cube is cut into 24 small cuboids. The total surface area of these cuboids is 162 square meters. Find the volume of the cube


162 / 18 = 9 square meters
9 * 6 = 54 square meters