The bells are adding a new room to their house. The room will be a cube with volume of 5,832 ft^3. They are going to put in hardwood floors, and the contractor charges $5 per sqaure. How much will the hardwood floors cost

Respuesta :

1620 because 5832 is 18 to the 3rd power which means that because it is a cube 18 to the second power will be able to find the base which 324 ft^2, multiplying that by 5 dollar gets 1,620 dollars

This is about understanding area and volume of cubes.

Cost of this hardwood floor = $1620

  • We are told that the room is a cube. This means all its sides are equal.

Volume of a cube with a side length of x is given as;

V = x³

Where x has the same measurement for length, width and height.

  • We are told that the volume of the room which is a cube is 5832 ft³

Thus; x³ = 5832

To find x, we will find the cube root of both sides to get;

∛x³ = ∛5832

x = 18 ft

  • Thus;

length of floor = 18 ft

width of floor = 18 ft

Area  of floor = 18 × 18

Area of floor = 324 ft²

  • The hardwood floor costs $5 per ft².

Cost of this floor = 5 × 324

Cost of this hardwood floor = $1620

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