The length,breadth and height of a cuboids dimensions are in the ratio 6:5:4.if its volume is 15,000cm3,find its surface area
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Answered by
9
6x × 5x × 4x = 15000
120x^3= 15000
x^3= 15000/ 120
x^3 = 125
x = 5
1 side = 6x = 30 cm
2 side = 5×5 = 25 cm
3 side = 4×5 = 20cm
areA = 2(30×25+25×20+30×20)
2(750+500+600)= 2×1850= 3750 cm^2
120x^3= 15000
x^3= 15000/ 120
x^3 = 125
x = 5
1 side = 6x = 30 cm
2 side = 5×5 = 25 cm
3 side = 4×5 = 20cm
areA = 2(30×25+25×20+30×20)
2(750+500+600)= 2×1850= 3750 cm^2
Answered by
6
Let length, breadth & height are 6x, 5x & 4x
volume of Cuboid = 15000
(6x)(5x)(4x) = 15000
120 x^3 = 15000
x^3 = 15000/120
x^3 = 125
x^3 = 5^3
x = 5
L = 6 × 5 = 30cm
B = 5 × 5 = 25cm
H = 4 × 5 = 20cm
Surface area = 2 ( 30×25 + 25×20 + 20×30)
= 2(750+500+600)
= 2(1850)
= 3700cm^2
volume of Cuboid = 15000
(6x)(5x)(4x) = 15000
120 x^3 = 15000
x^3 = 15000/120
x^3 = 125
x^3 = 5^3
x = 5
L = 6 × 5 = 30cm
B = 5 × 5 = 25cm
H = 4 × 5 = 20cm
Surface area = 2 ( 30×25 + 25×20 + 20×30)
= 2(750+500+600)
= 2(1850)
= 3700cm^2
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