Three cubes of silver with edges 3 cm, 4 cm and 5 cm are melted and recast into a single cube. Find the cost of coating the surface of the new cube with gold at the rate of Rs 3.50 per square meter.
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S1 = 3 cm
S2 = 4 cm
S3 = 5 cm
v of cube = s³
V1 = 3³ = 27 cm³
V2 = 4³ = 64 cm³
V3 = 5³ = 125 cm³
total volume = 27+64+125 = 216 cm³
V4 = 216 cm³
S4³ = 216
S4 = ³√216 = 6 cm
TSA of cube = 6s²
TSA = 6 × 6²
= 6 × 36 = 216 cm²
cost of gold plating = 216 × 3.5 = ₹756
therefore the cost of covering the new cube with gold will be ₹756
hope it helps :))
Answered by
7
Answer:
The cost of coating the surface with gold is Rs 756.
Step-by-step explanation:
Referred to the attachments.
Attachments:
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