a cuboid is 6cm long,3cm broad and 3cm. high and a cube has an edge of 4cm. which one has greater volume?
Answers
Answer:
Volume of cube is greater than cuboid
Step-by-step explanation:
Given---> Length of cuboid = 6cm
Breadth of cuboid = 3cm
Height of cuboid = 4cm
Edge of cube = 4cm
To find ---> Which one has greater volume between cube and cuboid .
Solution---> ATQ,
Edge of cube = 4cm
Volume of cube = edge³
= ( 4 )³
= 4 × 4 × 4
= 64 cm³
ATQ, Length of cuboid = 6cm
Breadth of cuboid = 3cm
Height of cuboid = 3cm
Volume of cuboid = Length × Breadth × Height
= 6 × 3 × 3
= 54 cm³
Clearly cube has greater volume than cuboid
Additional information---->
(1) Lateral surface area of cube = 4 ( edge )²
(2) Total surface area = 6 ( edge )²
(4) Lateral surface area of cuboid or area of four walls = 2 ( l + b ) h
(3) Total surface area
= 2 ( l × b + b × h + l × h )
Where l = length , b = breadth , h = height
(4) Volume of cylinder = π r² h
( 5 ) Volume of cone = ( 1/3 ) π r² h