Question

A kitchen is 12 ft x 14 ft x 10 ft, how much will it cost to wall paper at $1.53 per foot2

Answer 1

The cost to wallpaper kitchen at rate of $1.53 per foot² is $795.6

Explanation:

Given : A kitchen is 12 ft x 14 ft x 10 ft

We have to calculate the cost to wall paper at $1.53 per foot².

Since, kitchen has three dimension of different length thus it is in the shape of a cuboid with dimension,

width: w = 12 ft

length: l = 14 ft

height: h = 10 ft

Since wallpaper will be pasted on walls of kitchen only.

So, it will be on 4 walls and thus the area of 4 walls will be given by,

`Area=2(length * Height)+2(width * height)`

Substitute the values, we get,

`Area=2(14* 10)+2(12* 10)`

`Area=2(140)+2(120)`

`Area=280+240`

`Area=520`

Thus, Area to be covered by wall paper is 520 ft²

Given cost to cover 1 ft² area by wall paper = $1.53

Then cost to cover 520 ft² area by wall paper = $1.53 × 520 = $795.6

Thus, the cost to wallpaper kitchen at rate of $1.53 per foot² is $795.6

Answer 2

Cost of wallpaper for the kitchen is $795.6

Explanation:

We have that the dimensions of the kitchen are given by,

Length = 12 feet, Width = 14 feet and Height = 10 feet.

Since, we know, wallpaper is applied on the 4 walls,

Thus, Area of the four walls = 2( Length × Height + Width × Height)

i.e. Area of the walls = 2( 12×10+14×10) = 2×260

i.e. Area of the walls = 520 feet²

Since, the cost of of wallpaper per foot² is $1.53

Thus, the cost of 1680 feet² will be 1.53 × 520 = $2570.4

Hence, the cost of wallpaper for the kitchen is $795.6