the breadth and height of a rectangular solid are in ratio 5 ratio 4 ratio 2 in if its total surface area is 1216 CM square find the volume of the solid
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TSA of cuboid = 2(lb + bh + hl)
Length = 5x , Breadth = 4x , Height = 2x
1216 = 2(5x *4x + 4x * 2x + 2x * 5x)
608 = 20x2 + 8x2 +10x2
608 = 38x2
x2 = 608 / 38
x2 = 16
x = 4 cm
Dimensions of rectangular solid = 20 , 16,8
Volume = l * b * h
= (20 * 16 * 8)cm
= 2560cm3
Length = 5x , Breadth = 4x , Height = 2x
1216 = 2(5x *4x + 4x * 2x + 2x * 5x)
608 = 20x2 + 8x2 +10x2
608 = 38x2
x2 = 608 / 38
x2 = 16
x = 4 cm
Dimensions of rectangular solid = 20 , 16,8
Volume = l * b * h
= (20 * 16 * 8)cm
= 2560cm3
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