Question

4 Analysis 1 A fish tank is 100 cm long, 50 cm wide and 30 cm tall. It was tipped on its side edge until the water just reached the top of the tank as shown in this diagram 100 cm water 30 cm dcm When the tank was returned to rest on its base, the water reached one-quarter of the way up the tank What volume of water is actually in the tank? (simple familiar) b Calculate the number of litres the fish tank could hold if filled to capacity. (complex familiar) с The water reaches a distance of d cm along the base of the tank when tipped on its side. Use the known volume of water in the tank to determine the value of d. What does this value represent in terms of the length of the base? (complex unfamiliar) Analysis' section

Answer 1

Given to length= 100cm = 1 tocm = 6 height = 30cm h when the tank was then water reached returned to rest on it base 30 one quarter of the way of 100) up the tank. Volume of water 1x bxth = tx100x50x30 = 25% x 30 = 37500 cm3 (b) capacity of the fish tankez 100 x 50 x 30 - 150,000 cm we knew that 1cm' = 0.001 litre 150,000 cm3= 150 litre capacity in litres = 150 litres for determine the value of d were write 30x d x 50 = volume of water 36x dx15% + x 100 x 50 x 70 d=25cm