Question

If a brick has length, breadth and height in the ratio 1:2:3 and the total surface area of the brick is 792 sq. m, then the volume of the brick is

A) 1296m
B)1396m
C) 1496m
D) 1596m​

Answer 1

$Given:-$

$L= 1x$

$B= 2x$

$H= 3x$

$total \: surface \: area = 792 sq.m$

Step-by-step explanation:

$2 (lb + bh + hl) = total \: surface \: area \: of \: cuboidal \: brick$

Let the length be x units Then, b=2x units and h=3x units

$Total \: surface \: area \: of \: cuboid$

$2 \times lb \times bh \times lh$

$2 \times lb \times bh \times lh = 792$

$2(2 {x}^{2} + {6}^{2 } + 3 {x}^{2)} = 792$

$22 {x}^{2} =792$

$x = 6cm$

(Since x is the length and length is always positive.)

∴ l=6cm

, b=12cm

b=12cm,h=18 cm

$Hence, volume = l \times b \times h$

$6 \times 12 \times 18$

$1296 {m}^{2}$

Answer 2

Hi siso♥♥

After a long time...!

How are you??

And aapka or bro ka breakup ho gaya??