If the volumes of two cubes are in the ratio 64 : 125, then the ratio of their surface areas is?
Answers
Answered by
4
Answer:
Ratio of volumes = 64:125
side-..... 4:5(cube roots,
surface area=96: I50 (6a2, a = side
= 16:25
Answered by
2
Answer:
The ratio of the surface areas is 16 : 25
Step-by-step explanation:
Step 1:
Proportion of volumes = V1 / V2 = 64 /125
Step 2:
VOLUME OF SPHERE: (4/3)πr³
V1/V2 = 64/125
(4/3)πR1³ / (4/3)πR2³ = 64/125
Step 3:
R1³ / R2³ = 64/125
(R1/R2)³ = 64/125
(R1/R2)= ³√64/125
R1/R2 = ⅘
Step 4:
Surface area of sphere: 4πr²
S1/S2 = 4πR1² / 4πR2²
S1/S2= R1² / R2²
S1/S2 = (R1/R2)²
S1/S2 = (⅘)²
S1/S2 = 16/25
S1 : S2 = 16 : 25
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