SAT Question:

A rectangular container has a base that is 10 cm by 4 cm and a height of 20 cm. If the tank is half full of water, by how many cm will the water rise if 300 cm^3 are poured into the tank?

Question

SAT Question:

A rectangular container has a base that is 10 cm by 4 cm and a height of 20 cm. If the tank is half full of water, by how many cm will the water rise if 300 cm^3 are poured into the tank?

campbell_st · Answer

ok... so the volume of the prism is 

V 10 x 4 x 20 = 800 cm^3

which is 800 mL

so if its half full it contains 400 ml.  and the height is 10cm 

adding 300ml means the volume is 700 cm^3

so 700 = 10 x 4 x h

h = 70/4 

or the new height is 17.5 cm

so by adding 300ml the height has increase from 10cm to 17.5cm... how far is that?

anonymous · Answer

oh i see thanks. i forgot to half the height to 10 cm and that's why i couldn't solve it.