The formula s= SA/6 squared gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?
Question
Answer:
Answer:The side lenght of the cube with a surface area of 1,200 in² is 1.2 times the side length of a cube with the surface area of 768 in²
Justification:
1) Given formula:
s = √ (SA / 6)
2) s for a cube with SA 1,200 in²
s₁ = √ (1,200 in² / 6) = √(200 in²) = 10 (√2) in
3) s for a cube with SA 768 in²
s₂ = √ (768 in² / 6) = √ (128 in²) = 8 (√2) in
4) ratio
s₁ / s₂ = 10√2 / 8√2 = 10/8 = 5/4 = 1.20
So, the side of the cube with a surface area of 1,200 in² is 1.2 times as long as the side of a cube with the surface area of 768 in²
solved
general
10 months ago
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