box is 0.56 M height 21 cm wide 44 cm long its volume is 51744 Cubic centimetre find the cost of painting its complete outer surface at the rate of 145 per cm2
Answers
Step-by-step explanation:
FIRST TAKE OUT THE TOTAL SURFACE AREA OF CUBEOID (TSA) = 2[(LB) + (BH) + (HL)]
SO, IT WILL BE..
2 ×(21×44) + (21×0.56) + (0.56×44)
= 1884.4
TSA OF CUBEOID IS 1884.4.
PER CM SQUARE = 145
1884.4 CM SQUARE = 1884.4 × 145 = 2,73,238
FINAL ANSWER WILL BE = RUPEES 2,73,238
Answer:
The cost of painting the complete outer surface of the box is Rs. 1323560
Given,
Height of the box (h) = 0.56 m
= 56 cm
Width of the box (w) = 21 cm
Length of the box (l) = 44 cm
Volume of the box = 51744 cm^3
Cost to paint 1 cm^2 surface area of the box = Rs. 145
To find,
The cost of painting the complete outer surface of the box at Rs. 145 per cm^2
Solution
Surface area of the cuboid = 2×(l×w+w×h+h×l)
= 2×(44×21+21×56+56×44) cm^2
= 2×(924+1176+2464) cm^2
= 2×4564 cm^2
= 9128 cm^2
Since the cost of painting 1 cm^2 surface area of the box is Rs. 145
Therefore, the cost of painting 9128 cm^2 surface area of the box = Rs. 145 × 9128
= Rs. 1323560
Hence, the cost of painting the complete outer surface of the box is Rs. 1323560