Question

The travers are adding a new room to the house the room will be a cube with a volume of 6,859 cubic feet.they are going to put in hardwood floors,with cost $10 per square foot.how much will the hardwood floors cost

Answer 1

Answer:

The hardwood floors will cost $3610.00

Step-by-step explanation:

As you may see in the drawing, a cube will have the same length on all of its sides, so in order to solve this problem we need to find what the length of the sides is. We can do so by using the volume of a cube formula:

$V_{cube}=b{3}$

so we can solve this for the side b, so we get:

$b=\sqrt[3]{V}$

So we can substitute the volume in the equation so we get:

$b=\sqrt[3]{6859 ft^{3}}$

which yields:

b= 19ft

so now we need to find what the area of one of the sides of the cube is (the floor's area) so we use the area formula to find this:

$A=b^{2}$

when substituting the value of b we get:

$A=(19ft)^{2}$

which yields:

$A=361ft^{2}$

with that area we can now find how much the hardwood floors will cost:

$361ft^{2}*\frac{\ 10}{1ft^{2}}=\ 3610.00$

So the hardwood floors will cost $3610.00