If the height of a cuboid is increased by 2 cm, it becomes a cube. At this time, the surface area is increased by 64 square cm, which is the volume of the original cuboid

If the height of a cuboid is increased by 2 cm, it becomes a cube. At this time, the surface area is increased by 64 square cm, which is the volume of the original cuboid

Perimeter of bottom (square): 64 / 2 = 32cm
Cube edge length: 32 / 4 = 8cm
Bottom area: 8 * 8 = 64cm ^ 2
Side edge length: 8-2 = 6cm
Cuboid volume: 6 * 64 = 384cm ^ 3

A cuboid will become a cube when its width is increased by 5 cm, and its surface area is increased by 160 square cm. What is the volume of this cuboid
Less cubic centimeter?

Let the cuboid be x cm in length and X-5 cm in width
After changing the cube, the added part is the circle 5 cm high
therefore
5*X*4=160
X=8
X-5=3
The volume of the cube is
8 * 8 * 3 = 192 CC

There are 9 math questions about the surface area, volume and volume of cuboid and cube
3. A cuboid shaped children's swimming pool, 40 meters long, 14 meters wide and 1.2 meters deep. Now how many square tiles with an area of 16 square decimeters need to be pasted on the four walls and the bottom of the pool?
4. A cuboid container with a bottom area of 6 square decimeters. The water depth in the container is 17 cm. After putting a watermelon in the container (the watermelon is completely immersed in water), the water depth is now 26 cm. How many cubic centimeters is the volume of the watermelon?
5. A rectangular steel barrel filled with milk, measured from the inside, the bottom is a square with a circumference of 40 decimeters, and the height is 15 decimeters. How many bottles can you put the milk into a 500ml bottle?
6. The volume of a cuboid water tank is 200 liters. The floor of the water tank is a square with a side length of 50 cm. How high is the water tank?
7. A cuboid filled with glass fiber reinforced plastic is 8 decimeters long, 6 decimeters wide, 4 decimeters high and 2.8 decimeters deep. If a 4 decimeter long cube iron block is put in, how many liters of water will overflow in the tank?
8. The fuel tank is 50cm long, 40cm wide and 30cm high
(1) How many liters of oil can this tank hold?
(2) If one liter of gasoline is consumed for every 10 kilometers, how many kilometers can the car run out of gasoline in the fuel tank?
9. Put 8 cube with edge length of 1dm into a cuboid. How to put it into a cuboid? How to put it into a cuboid? How to put it into a cuboid? How to put it into a cuboid? How to put it into a cuboid? How to put it into a cuboid? How to put it into a cuboid? How to put it into a cuboid?
10. Subtract a square from the four corners of a square cardboard with a side length of 21cm to make a paperboard without a cover. How can we cut it to make a cube carton? How can we reduce it to make the largest carton volume? What is the cubic centimeter?
11. On the packing box of a TV set, it says: external dimension: 900mm × 685mm × 745mm. What does it mean? Can you work out the volume of the packing box?
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3. 40 × 14 + (40 × 1.2 + 14 × 1.2) × 2 = 624.8 square meters = 62480 square decimeters
62480 △ 16 = 3905 pieces
4. 6 square decimeters = 600 square centimeters
600 × (26-17) = 5400 cm3
5. 500 ml = 0.5 L = 0.5 cubic decimeter
40 △ 4 = 10 decimeters
10 × 10 × 15 △ 0.5 = 3000 bottles
6. 50 cm = 5 decimeters 200 L = 200 cubic decimeters
200 ÷ (5 × 5) = 8 decimeters = 80 cm
7. 4 × 4 × 4-8 × 6 × (4-2.8) = 6.4 cubic decimeter = 6.4 liter
8. (1) 50 × 40 × 30 = 60000 CC = 60 l
(2) 10 × 60 = 600 km
9. The largest surface area is 8 × 1 × 4 + 1 × 1 × 2 = 34 square decimeters
The surface area of a cube is the smallest: 2 × 2 × 6 = 24 square decimeters
10. 21 △ 3 = 7 cm
Cut out a square with 7 cm side length from the four corners to make a cube with 7 cm edge length
A square with a side length of 4cm is cut off from the four corners. In this way, a cuboid with a length and width of 21-4 × 2 = 13cm and a height of 4cm can be made. 13 × 13 × 4 = 676cm3
11. 900mm × 685mm × 745mm means 900mm in length, 685mm in width and 745mm in height
900 × 685 × 745 = 459292500 cubic millimeter = 459.2925 cubic decimeter