Question

A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estimate the cost to tile the floor of a 12-by-17-foot room. Each clay brick tile sells for $0.72. Round your final answer to the nearest hundred.

Answer 1

Answer: The cost to tile the floor is $318.24.

Explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

`12* 17\\\\=204\ sq.\ foot`

As we know that 1 foot = 12 inch

So, Area of floor would be

`204* (12)^2\\\\=204* 144\\\\=29376\ sq.\ foot`

Dimension of brick tiles is given by

`3(5)/(8)\ by\ 7(5)/(8)\ by\ (1)/(2)`

So, Area of brick tiles is given by

`2(lb+bh+lh)\\\\=2((29)/(8)* (61)/(8)+(61)/(8)* (1)/(2)+(29)/(8)* (1)/(2))\\\\=2((1769)/(64)+(61)/(16)+(29)/(16))\\\\=2* (1769+244+116)/(64)\\\\=(2129)/(32)`

So, Number of clay brick would be

`29376/ (2129)/(32)\\\\=29376* (32)/(2129)\\\\=(29376* 32)/(2129)\\\\=441.53\\\\\approx 442`

cost of each clay brick = $0.72

So, Total cost of flooring would be

`442* 0.72\\\\=\$318.24`

Hence, The cost to tile the floor is $318.24.