Question

The dimensions of a cuboid are in the ratio of 2:3:4 and its total surface area is 280m^2. Find the dimensions.​

Answer 1

$\huge\star{\underline {\mathtt{\blue{αnswєr }}}}$

Solution :-☃️☃️

We know that

TSA = 2(lb + bh + lh)

280 = 2(2x × 3x + 3x × 4x + 2x × 4x)

280 = 2(6x² + 12x² + 8x²)

280 = 2(26x²)

280 = 52x²

280/52 = x²

√5.3 = x

2.3 = x

Therefore,☄☄

• Length = 2x = 2 × 2.3 = 4.6 m
• Breadth = 3x = 3 × 2.3 = 6.9 m
• Height = 4x = 4 × 2.3 = 9.2 m

Answer 2

☕Ꭺղsաҽɾ ✍

lєt thє lєngth σf thє cuвσíd =х, вrєαdth =2х, hєíght =3х

tσtαl surfαcє αrєα σf α cuвσíd =2(l×в+в×h+l×h)

gívєn, tσtαl surfαcє αrєα σf thє cuвσíd =88m2

⇒2(х×2х+2х×3х+х×3х)=88m2

⇒22х2=88

⇒х=2

hєncє, thє lєngth σf thє cuвσíd =х=2m, вrєαdth =2х=4m, hєíght =3х=6m

❤Եнαղks_ (:

#ճɾαíղlվ.íղ

#нαթթվ lҽαɾղíղց :)