SPM Mathematics 2017, Paper 2 (Questions 5 & 6)


Question 6 (4 marks):
An aquarium has the length of (x + 7) cm, the width of x cm and the height of 60 cm.
The total volume of the aquarium is 48000 cm3. The aquarium will be filled fully with water.
Calculate the value of x.

Solution:


Volume of aquarium=48000  cm 3 So, ( x )( x+7 )( 60 )  cm 3 =48000  cm 3 ( x )( x+7 )= 48000 60 x 2 +7x=800 x 2 +7x800=0 ( x25 )( x+32 )=0 x25=0   or   x+32=0 x=25   or   x=32( not accepted ) So the value of x=25 cm

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