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azamat
3 years ago
5

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

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

45 tiles are needed .

<u>Step-by-step explanation:</u>

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 .

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