the length, breadth and height of a cuboid are in the ratio of 6:5:4 . if it's volume is 15,000 find : 1 . it's dimensions. 2. it surface
Answers
Answer:let the value of ratios be x
6x 5x 4x
The sum of all x is 15000
6x+5x+4x = 15000
15x = 15000
X=15000÷15
X=1000
6x= 6000
5x= 5000
4x= 4000
Length =6000
Breadth =5000
Height =4000
Surface area of cuboid =2(lb+bh+hl)
6000×5000+5000×4000+4000×6000
=2×74000000
=148000000
Step-by-step explanation:
Step-by-step explanation:
1. let be the sides are 6x , 5x ,4x
ATQ
volume of cuboid = L ×b×h
15000= 6x + 5x + 4x
15000 = 15x
15000 /15 = x
1000= x
so L = 6×1000 = 6000 unit
B =5×1000 =5000unit
H =4×1000=4000unit
therefore it's dimensions is 6000,5000,4000 units
2. lateral surface area = 2H ( L+B )
= 2×4000 (6000+5000)
= 8000× 11000
= 88000000 unit^2
total surface area = 2(LB + BH + HL )
=2(6000×5000 +5000×4000 +4000×6000)
=2( 30000000+20000000+24000000)
=2(74000000)
=148000000 unit^2