Question

If the areas of the adjacent faces of a
rectangular block are
8 cm², 18 cm², 25 cm² . Find its volume​

Answer 1

Step-by-step explanation:

Solution ,

$length \: = 8cm ^{2} \\ breadth \: = 18 cm^{2} \\ height \: = \: 25 {cm}^{2}$

now,

area = L × B × H

= 8cm^2 × 18cm^2 × 3cm^2

= 432cm^6

•°• Area of rectangle is 432cm^6

Answer 2

Question  :-

⇒ If the areas of the adjacent faces of a

rectangular block are

8 cm², 18 cm², 25 cm² . Find its volume​ ?

Answer :-

Given :  

⇒Areas of three adjacent faces of a cuboid are 8 cm², 18 cm² and 25 cm².  

To find :-

⇒ the volume of adjacent faces of rectangular block.

Solution :-

⇒ Let the dimensions of cuboid be l, b and h .  

⇒ Let these adjacent faces of a cuboid are x, y ,z .

⇒  $= x = l*b = 8$

⇒ $y = b*h = 18 ,$

⇒ $z = h*l = 25$

and volume of cuboid = V  

On squaring both sides :  

⇒ $V^{2} = (lbh)^2 = l^{2} b^{2} h^{2}$

⇒  $V^{2} = lb * bh * hl$

⇒ $V^{2} = xyz$

⇒  $V = \sqrt{xyz}$

⇒  $V = \sqrt{ 8 * 18 * 25}$

⇒ $V = \sqrt{3600}$

⇒  $V = 60cm^{3}$

Hence, the volume of the cuboid is 60 cm³.

so ,

our answer is $= 60cm^{3}$

thank you