Question

Please someone help me with his question :
A container is to be filled with water which flows into it at a constant rate. It takes 12 minutes to fill the container. Find the time taken for the water to reach a depth of 20 cm.
-Picture of the container in the comments.

Answer 1

this question uses ratios

the ratio of vertical height is 20:40 or 1:2

for volumes the linear ratios are cubed

the ratio of volumes for 20cm to 40 cm is 1:8

the volume of the whole pyramid is V = 48000 cm^3

the volume of the 20 depth is 1/8 the volume of the large pyramid

V = 48000/8 = 6000 cm^3

so 12/48000 = x/6000

x = (12* 6000)/48000

it will take 1.5 minutes to fill to a depth of 20 cm

Answer 2

looks more like a prism

Answer 3

Yes. It's not a pyramid. It's a prism. O_o

Answer 4

ok if its a prism the V = 72000 cm^3


V of the smaller prism is 9000cm^3

then 12/72000 = x /9000

x = (12 * 9000)/72000

x = 1.5 minutes... just the same

Answer 5

oops thats assuming a square base

Answer 6

if its a prism we can consider it as a triangle:


A = 1200

a = 300