Question

a storeroom 21 feet long, 15 feet wide, and 11 feet high was enlarged to a length of 25 feet and a width of 17 feet. how many cubic feet of storage space were thus added?​

Answer 1

1210 cubic feet

Explanation:

Initial dimensions of the storeroom were
`21\text{ }ft` length,
`15\text{ }ft` width and
`11\text{ }ft` height.

The room is in the shape of a cuboid. Volume of a cuboid =
`V=l* b* h`, where
`l,b,h` are the length, width and height of the cuboid.

So, Volume of storeroom initially =
`21\text{ }ft\text{ }*15\text{ }ft\text{ }*11\text{ }ft\text{ }=3465\text{ }ft^(3)\text{ }`

Finally, the length was increased to
`25\text{ }ft` and width to
`17\text{ }ft`.

Final volume of storeroom =
`25\text{ }ft\text{ }* 17\text{ }ft\text{ }* 11\text{ }ft\text{ }=4675\text{ }ft^(3)\text{ }`

Increase in volume =
`4675\text{ ft}^(3)-3465\text{ ft}^(3)=1210\text{ ft}^(3)`

∴ 1210 cubic feet of storage was added.