Question

how many square feet of paper do you need to cover a cube with a side 10 in. long? round your answer to two decimal places. a) 6.94 sq ft b) 82.52 sq ft c) 86.40 sq ft d) 4.17 sq ft

Explanation:

Step1: Calculate the surface area of the cube in square inches

The surface area formula for a cube is \(SA = 6s^{2}\), where \(s\) is the side length. Given \(s = 10\) in, then \(SA=6\times(10)^{2}=6\times100 = 600\) square inches.

Step2: Convert square inches to square feet

Since \(1\) square foot \(= 144\) square inches. Let \(x\) be the area in square feet. Then \(x=\frac{600}{144}\approx4.17\) square feet.

Answer:

D. \(4.17\) sq ft