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A cuboid wood block is cut off from both ends and its surface area is reduced by 80 square centimeters. How many cubic centimeters is the volume of the original cuboid? A cuboid block of wood, cut off from both ends of the cuboid for 2 cm, will become a cube, the surface area reduced by 80 square centimeters?
It turns out that the perimeter of the bottom of the cuboid is
80 ÷ (2 + 2) = 20 cm
What is the edge length of a cube
20 △ 4 = 5cm
What is the height of the cuboid
5 + 2 + 2 = 9 cm
The original cuboid volume is
5 × 5 × 9 = 225 cm3
A 2-meter-long cuboid wood is cut into three sections on average, and the surface area is increased by 80 square centimeters. How many cubic centimeters is the volume of the original cuboid wood
Added 4 faces
80 △ 4 = 20 square centimeter (area of cross section)
2 m = 200 cm
Volume = 20 × 200 = 4000 CC
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The length, width and height of a cuboid are three consecutive natural numbers. Its volume is 39270 cubic centimeters. What is the surface area of the cuboid?
First to fifth grade math problems
Decompose 39270 into prime factor: 39270 = 2 * 3 * 5 * 7 * 11 * 17. Because 33 * 33 * 33 = 35937 and 34 * 34 * 34 = 39304, there must be 33 and 34 in these three continuous natural numbers. Group them and get 3 * 11 = 33, 17 * 2 = 34, 5 * 7 = 35 and 33 * 34 * 35 = 39270
The volume of a cuboid is 720 cubic meters. The length, width and height are three consecutive natural numbers. What is the surface area of the cuboid?
720＝2×2×2×2×3×3×5＝（2×2×2）×（3×3）×（2×5）＝8×9×10
What is the surface area of this cuboid
(8 × 9 + 8 × 10 + 9 × 10) × 2 = 484 (M2)
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