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標題:
發問:
1.Two identical cubes of length 6 cm are melted and then recast into a cuboid has a square base of length 4 cm , find the height of the cuboid .2.Consider two cuboids with both lengths as 5 cm and widths as 4 cm . They are melted to form a cube with side length 8 cm . If the height of one cuboid is 10 cm , find... 顯示更多 1.Two identical cubes of length 6 cm are melted and then recast into a cuboid has a square base of length 4 cm , find the height of the cuboid . 2.Consider two cuboids with both lengths as 5 cm and widths as 4 cm . They are melted to form a cube with side length 8 cm . If the height of one cuboid is 10 cm , find the height of the other.
最佳解答:
Solution: (1) Total volume of two cubes = 63 × 2 = 432 cm3 Let h be the height of the cuboid. The volume of the cuboid = the volume of the two cubes 42 × h = 432 h= 27 ∴ The height of the cuboid is 27 cm. (2) The volume if the cube = 83 = 512 cm3 Let h be the volume of the height of another cuboid. Total volume of two cuboid = the volume of the cube 5× 4× 10+ 5× 4× h = 512 20h = 312 h = 15.6 ∴ The height of another cuboid is 15.6 cm.
其他解答:
1.2(6*6*6)/(4*4)=432/16=27cm 2.Let xcm be the height of the other cuboid 5*4*10+5*4*x=8*8*8 200+20x=512 20x=312 x=15.6 Therefore,the height of the other cuboid is 15.6cm|||||1. Total volume of two cubes = (6x6x6) × 2 cm cube = 432 cm cube Let h cm be the height of the cuboid. Volume of the cuboid = Volume of the two cubes (4x4) × h = 432 h= 27 2. The volume of the cube = 8x8x8 cm cube = 512 cm cube Let h cm cube be the volume of the height of the other cuboid. Volume of two cuboids = Volume of the cube 5x10x 4+ 5xhx 4 = 512 20h = 312 h = 15.6 Sorry for the inconvenience of the symbols .I use cube instead! :)|||||1. Volume of two cubes = Volume of cuboid 2*6*6*6 = 4*4*(height of the cuboid) height of the cuboid = 2*6*6*6/4/4 = 27 cm 2. Volume of two cuboids = Volume of cube 5*4*10 + 5*4*(height) = 8*8*8 5*4*(height) = 8*8*8 - 5*4*10 height = (8*8*8 - 5*4*10)/5/4 = 15.6 cm0D7DAC4E7B8CAAC5
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中一數學題目發問:
1.Two identical cubes of length 6 cm are melted and then recast into a cuboid has a square base of length 4 cm , find the height of the cuboid .2.Consider two cuboids with both lengths as 5 cm and widths as 4 cm . They are melted to form a cube with side length 8 cm . If the height of one cuboid is 10 cm , find... 顯示更多 1.Two identical cubes of length 6 cm are melted and then recast into a cuboid has a square base of length 4 cm , find the height of the cuboid . 2.Consider two cuboids with both lengths as 5 cm and widths as 4 cm . They are melted to form a cube with side length 8 cm . If the height of one cuboid is 10 cm , find the height of the other.
最佳解答:
Solution: (1) Total volume of two cubes = 63 × 2 = 432 cm3 Let h be the height of the cuboid. The volume of the cuboid = the volume of the two cubes 42 × h = 432 h= 27 ∴ The height of the cuboid is 27 cm. (2) The volume if the cube = 83 = 512 cm3 Let h be the volume of the height of another cuboid. Total volume of two cuboid = the volume of the cube 5× 4× 10+ 5× 4× h = 512 20h = 312 h = 15.6 ∴ The height of another cuboid is 15.6 cm.
其他解答:
1.2(6*6*6)/(4*4)=432/16=27cm 2.Let xcm be the height of the other cuboid 5*4*10+5*4*x=8*8*8 200+20x=512 20x=312 x=15.6 Therefore,the height of the other cuboid is 15.6cm|||||1. Total volume of two cubes = (6x6x6) × 2 cm cube = 432 cm cube Let h cm be the height of the cuboid. Volume of the cuboid = Volume of the two cubes (4x4) × h = 432 h= 27 2. The volume of the cube = 8x8x8 cm cube = 512 cm cube Let h cm cube be the volume of the height of the other cuboid. Volume of two cuboids = Volume of the cube 5x10x 4+ 5xhx 4 = 512 20h = 312 h = 15.6 Sorry for the inconvenience of the symbols .I use cube instead! :)|||||1. Volume of two cubes = Volume of cuboid 2*6*6*6 = 4*4*(height of the cuboid) height of the cuboid = 2*6*6*6/4/4 = 27 cm 2. Volume of two cuboids = Volume of cube 5*4*10 + 5*4*(height) = 8*8*8 5*4*(height) = 8*8*8 - 5*4*10 height = (8*8*8 - 5*4*10)/5/4 = 15.6 cm0D7DAC4E7B8CAAC5
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