A cuboid is 6 cm long, 6 cm wide and 4 cm high and a cube has an edge of 6 cm. Which one has greater volume?
Answers
Given :- Length of cuboid = 6 cm
Breadth of cuboid = 6 cm
Height of cuboid = 4 cm
Side of cube = 6 cm
Volume of cuboid = Length x Breadth x Height
= 6 x 6 x 4
= 144 cm³
Volume of cube = (side) ³
= (6)³
= 216 cm³
Hence, Cube has greater volume.
✯ Answer:
Cube has a greater volume.
✪ Step-by-step explanation:
☞ First let us consider cuboid.
Length = 6 cm
Breadth = 6 cm
Height = 4 cm
Volume of cuboid = L × B × H
⇒ Volume of cuboid = 6 × 6 × 4
⇒ Volume of cuboid = 144 cm³
➥ Now let's consider cube.
✠ Edge of cube = 6 cm
Volume of cube = (side)³
➳ Volume of cube = 6³
⇢ Volume of cube = 216 cm³
Now, compare the volume of cube and cuboid.
➾ 216 > 144
⇒ Volume of cube > Volume of cuboid
∴ Cube has a greater volume.