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

Step-by-step 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 = $V=l\times b\times h$, where $l,b,h$ are the length, width and height of the cuboid.

       So, Volume of storeroom initially = $21\text{ }ft\text{ }\times15\text{ }ft\text{ }\times11\text{ }ft\text{ }=3465\text{ }ft^{3}\text{ }$

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

       Final volume of storeroom = $25\text{ }ft\text{ }\times 17\text{ }ft\text{ }\times 11\text{ }ft\text{ }=4675\text{ }ft^{3}\text{ }$

       Increase in volume = $4675\text{ ft}^{3}-3465\text{ ft}^{3}=1210\text{ ft}^{3}$

∴ 1210 cubic feet of storage was added.