Question

A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water and the water rises 3.4 cm. Find the volume of the stone.

Please and thank you!

Answer 1

1356cm3

Explanation:

when the stone is dropped in to the water the new height is 17.4cm(14+3.4)

find the volume when the height is 14cm and when the height is 17.4cm

24*14*17.4=4716

24*14*14=3360

then subtract the two volumes

4716-3360=1356cm3

Answer 2

816 cm^3

Explanation:

First you want to find the volume of the container with the stone, and then without the stone.

The formula for finding the volume of a rectangular container is V= l x w x h

We substitue in:

With stone:

V= 24cm x 10 cm x (14+3.4 cm)

V= 4,176 cm^3

Without stone:

V= 24 cm x 10 cm x 14 cm

V= 3,360 cm^3

Then, you want to subtract the two volumes to get the stone by itself.

4,176 - 3,360= 816 cm^3

Hope this helps!

PS- I think the answer above me got their numbers mixed up, but they had the right idea.