Question

challenge the travers are adding a new room to their house. the room will be a cube with volume 6,859 ft³. they are going to put in hardwood floors, and the contractor charges $5 per square... how much will the hardwood floors cost? the hardwood floors will cost $□

Explanation:

Step1: Find side length of cube

Volume of cube \( V = s^3 \), where \( s \) is side length. Given \( V = 6859 \, \text{ft}^3 \), so \( s=\sqrt[3]{6859} \). Since \( 19^3 = 6859 \), \( s = 19 \, \text{ft} \).

Step2: Find floor area (square of side)

Floor is square, area \( A = s^2 = 19^2 = 361 \, \text{ft}^2 \).

Step3: Calculate cost

Cost = Area × Cost per square foot = \( 361×5 = 1805 \).

Answer:

1805