Question

Raj builds a side table in the shape of a cube. Each edge of the cube measures 15 inches. Raj wants to

Answer 1

$45$ 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

⇒ $a^2+a^2+a^2+a^2+a^2$

⇒ $5a^2$ , 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

⇒ $\frac{1125}{25}$

⇒ $45$

Therefore  , $45$ tiles are needed .