Question

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. How
many tiles will he need?

Answer 1

`45` tiles are needed .

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

⇒
`a^2+a^2+a^2+a^2+a^2`

⇒
`5a^2` , Where a is edge of the cube measures 15 inches So , Area :

⇒
`5(15)^2`

⇒
`5(225)`

⇒
`1125 in^2`

Now , Area of each tile is :

⇒
`(side)^2` , Where side is edge length of 5 inches

⇒
`(5)^2`

⇒
`25in^2`

So , Number of tile needed is

⇒
`(1125)/(25)`

⇒
`45`

Therefore ,
`45` tiles are needed .