Peter is tiling his bathroom shower. he will be tiling 3 walls on the shower and the fourth side will have a glass door. the shower measures 4 feet by 6 feet and the tiles will go 7 feet high. the glass door measures 6 feet by 7 feet. the tiles are 4 inches by 4 inches, so there are 9 tiles per square foot. it is recommended that he should purchase 10% more than the number of tiles to fill the area in case any tiles break or need to be cut, or replaced later.

determine the number of tiles peter should purchase.

20 tiles

Step-by-step explanation:

Given that,

number of walls needed to be painted = 3

volume of one shower wall = 4 x 6 x 7

                                         = 168 feet³  

volume of 3 shower wall = 3 x 168

                                           = 504 feet³

1 foot = 12 inches

504 foot³ = 6048 inches³

volume 4x4 tiles will cover for 3 walls = 3(4 x 4 x 7)

                                                                  = 336 inches³

The number of tiles to fill the area = 6048 inches³/ 336 inches³

                                                        = 18 tiles

10% more than the number of tiles to fill the area in case any tiles break or need to be cut, or replaced later

18 + (18 x 10/100)

= 19.8

≈ 20 tiles