Question

The parallel sides of a trapezium are in the ratio 5:3. The area is 112 sq.cm, if the height is 14 cm, the sides of the trapezium areThe LSA of cuboid is 3500 sq.cm .Find the perimeter of the base if the height of cuboid is 70cm.

Answer 1

Answer:

Let the common factor be x

Length =2x

Breadth =3x

Height =4x

Surface area of cuboid is 2(hl+lb+bh)=208

2((2x)(3x)+(3x)(4x)+(2x)(4x))=208

6x

2

+12x

2

+8x

2

=104

26x

2

=104

x

2

=4

x=2

length =2(2)=4cm

Breadth =3(2)=6cm

Height 4(2)=8cm

Volume lbh=4(6)(8)=24×8=192cm

3