[tex]45[/tex] tiles are needed .
Step-by-step explanation:
Here we have , Raj builds a side table in the shape of a cube. Each edge of the cube measures 15 inches. Raj wants to  cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 5 inches. We need to find How  many tiles will he need . Let's find out:
Total area to be covered by tile for covering the top and four sides of the table is
⇒ [tex]a^2+a^2+a^2+a^2+a^2[/tex]
⇒ [tex]5a^2[/tex] , Where a is edge of the cube measures 15 inches So , Area :
⇒ [tex]5(15)^2[/tex]
⇒ [tex]5(225)[/tex]
⇒ [tex]1125 in^2[/tex]
Now , Area of each tile is :
⇒ [tex](side)^2[/tex] , Where side is edge length of 5 inches
⇒ [tex](5)^2[/tex]
⇒ [tex]25in^2[/tex]
So , Number of tile needed is
⇒ [tex]\frac{1125}{25}[/tex]
⇒ [tex]45[/tex]
Therefore  , [tex]45[/tex] tiles are needed .
