Question

1)the length,breath and height of a rectangular box are as 1:2:3 .find the volume of the box,when its surface area is 1078 sq.m.

2) the circumference of the base of cylindrical vessel is 132 cm and height is 25 cm.how many litres of water it can hold.​

Answer 1

The simplest ratio is 1:2:3, so add this all 1+2+3=6.

L:B:H= 1:2:3

So total part=6

1part equals to=1078÷6=179.9

Length=179.9×1=179.9

Breath=179.9×2= ______

Height=179.9×3=_____

*here is your first answer mate

Answer 2

Step-by-step explanation:

l:b:h = 1:2:3

let the length, breadth and height be x, 2x, 3x

clearly this rectangular box Is your cuboid .

surface area = 2 (lb + bh + lh)

1078 = 2 (2xsquare + 6x sq + 3x sq)

1078 = 2 ( 11 x sq)

539 = 11x sq

x sq =49

x = 7

hence,

l = 7cm

b= 14cm

h = 21 cm

base of cylinder is in the form of circle

2πr = 132

putting value of π as 22/7

we get r = 21 cm

volume = πr sq h

volume = 22/7 * 21 *21 *25

volume = 34650 cm cube

hope it helps ❣️