Question

The length width height of rectangular solid are in ration 3:2:1 if the volume of the box is 48cm³ the total surface area of the box is

Answer 1

Step-by-step explanation:

SOLUTION

Length (l), width (b) and height (h) of the rectangular solid are in the ratio 3 : 2 : 1.

So we can take,

(l) = 3x cm

(b) = 2 x cm

(h) = x cm

We need to find the total surface area of the box

Volume of the box,

V

=

48

c

m

3

V=48cm3

lbh = 48

(3x)(2x)x = 48

6x3 = 48

x3 = 8

x = 2

Thus,

Surface area of the box,

= 2 (lb+bh+hl)

= 2 [(3x)(2x)+(2x) x +(x)(3x)]

= 2 (11x2)

= 22 x2

= 22 (2)^2

= 88 cm2

Thus total surface area of the box is 88 cm2 .

Answer 2

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