Four cubes of edges 5cm each are each are placed side by side and stuck together. If the outer surface alone is painted at रु 300 per sq.m ,find the cost of painting.
Answers
Answer:
TSA of new solid formed = TSA of 5 cubes
= 5 × 6 × 5 × 5
= 750cm²
= 0.075m²
Cost of painting per m² = ₹300
Total cost = 300 × 0.075
= ₹ 22.5
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Answer:
The required cost of painting is Rs. 13.5
Step-by-step explanation:
Edge of the cube = 5 cm
If four cubes are placed side by side and stuck together, the resultant shape will be cuboid.
- The breadth and height of the cuboid is the edge of the cube.
i.e., breadth (b) = height (h) = 5 cm
- The length of the cuboid is sum of the edges of the 4 cubes.
i.e., length (l) = 20 cm
Total Surface area of the cuboid = 2(lb + bh + lh)
= 2 [(20)(5) + (5)(5) + (20)(5)]
= 2 [100 + 25 + 100]
= 2 [ 225 ]
= 450 cm²
= 450 × 10⁻⁴ m² [ 1 cm = 10⁻² m ]
The cost of painting is Rs. 300 per sq.m
The required cost of painting = 300 × 450 × 10⁻⁴
= Rs. 13.5