the dimensions of a cuboid are in the ratio of 1 ratio 2 ratio 3 and its total surface area is 88 CM square then its lateral surface area
Answers
Answered by
3
Let the dimensions be x, 2x and 3x.
Total surface area of a cuboid = 2 (lb + bh + hl) = 2 (x*2x + 2x*3x + 3x*x) = 2 (2x2 +6x2 + 3x2) = 22x2
Given, TSA of the cuboid is 88cm2
22x2 = 88cm2
x2 = 88cm2/22 = 4cm2
x = 2cm
Therefore, the dimensions of the cuboid will be :-
x = 2cm
2x = 2*2cm = 4cm
3x = 3*2cm = 6cm
Thus, lateral surface area the cuboid = 2h(l+b) = 2×3(2+2)cm2 =6(4)=24cm2
Total surface area of a cuboid = 2 (lb + bh + hl) = 2 (x*2x + 2x*3x + 3x*x) = 2 (2x2 +6x2 + 3x2) = 22x2
Given, TSA of the cuboid is 88cm2
22x2 = 88cm2
x2 = 88cm2/22 = 4cm2
x = 2cm
Therefore, the dimensions of the cuboid will be :-
x = 2cm
2x = 2*2cm = 4cm
3x = 3*2cm = 6cm
Thus, lateral surface area the cuboid = 2h(l+b) = 2×3(2+2)cm2 =6(4)=24cm2
Dharmendr:
brinlist mai add kr do
Similar questions