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S.1Maths(Area and volume)FAST!

 

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1. The figure shows a water tank in the shape of a cuboid. At first, the water level is 12cm below the top of the tank. After some water is added, the water level increases by 20%. Find the volume of water inside the water tank now.2. A swimming pool in the shape of a prism is 50m long and 20m wide. The depth... 顯示更多 1. The figure shows a water tank in the shape of a cuboid. At first, the water level is 12cm below the top of the tank. After some water is added, the water level increases by 20%. Find the volume of water inside the water tank now. 2. A swimming pool in the shape of a prism is 50m long and 20m wide. The depth of water in the pool is 5m at the deep end and 1.3m at the shallow end. (a) Find the volume of water in the pool. (b) Later on, the water in the pool is drained away from a hole at the bottom of the pool. When the volume of water in the pool becomes 五分之四 of the volume in (a), how much has the water level dropped? 更新: 1. L: 60cm W: 35cm H: 40cm

最佳解答:

1) H(original)=40-12=28 H(new)=28x120%=33.6 V(new)=60x35x33.6=70560(cubic centi-meter) 2) a) (with no diagram, assumed you know the shape of a typical pool) (and assuming it is a typical pool here in question...) A(vertical section)=A(trapezium)=(1.3+5)x50/2=315/2=157.5 V(pool)=A(vertical section)x(wide)=157.5x20=3150(cubic meter) b) V(new)=3150x(4/5)=2520 V(drained water)=3150-2520=630 water level dropped=h(draind water)=V(drained water)/(50x20) =630/1000=0.63meter=63cm

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