Question

The length, breadth and height of a cuboid are 15 cm, 12 cm and 4.5 cm respectively. The volume of this cuboid is :​

Answer 1

Answer:

given

length of a cuboid = 15cm

breadth of a cuboid = 12cm

heigth of a cuboid = 4.5cm

Volume of a cuboid = (length × breadth × height)

= 15 x 12 x 4.5

= 810 cm

hence Volume of a cuboid = 810 cm

Answer 2

Given :

• Length of the cuboid = 15 cm
• Breadth of the cuboid = 12 cm
• Height of the cuboid = 4.5 cm

To find :

• Volume of the cuboid.

Solution :

★ DIAGRAM :-

$\setlength{\unitlength}{0.74 cm}\begin{picture}(12,4)\thicklines\put(5.6,5.6){ A }\put(11.1,5.8){ B }\put(11.08,8.9){ C }\put(5.46,8.7){ D }\put(3.55,10.15){ E }\put(3.55,7.15){ F }\put(9.14,10.235){ H }\put(9.14,7.3){ G }\put(3.3,6.3){ 12\:cm }\put(7.75,6.2){ 15\:cm }\put(11.1,7.5){ 4.5\:cm }\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}$

Formula Used :-

${\boxed{\bold{Volume\:of\: cuboid=Length\times\: Breadth\times\: Height}}}$

• Length = 15 cm
• Breadth = 12 cm
• Height = 4.5 cm

$\implies\sf{Volume=15\times\:12\times\:4.5\:\:cm^3}$

$\implies\sf{Volume= 810\:\:cm^3}$

Therefore, the volume of the cuboid is 810 cm³ .

__________________

More information :

• TSA of cuboid = 2( length × Breadth + length × height + breadth × height )

• Diagonal of cuboid = √(length² + breadth² + height²)

• TSA of cube = 6a² [ a = side ]