6. Find the edgand 27 cm.e of a cube whose volume equals that of a cub

1.	6. Find the edgand 27 cm.e of a cube whose volume equals that of a cuboid whose dimensions are 36 cm, 48 cm
Answer» Let the edge of the cube be 'a'volume of cube = a^3 ACCORDING TO THE QUESTION the volume of the cube is equal to volume of a cuboid of dimensions 36cm, 48cm, 27cm volume of cuboid = length X breadth X height = 36 X 48 X 27=46656cm cube. as, volume of cube = volume of cuboid = a cube = 46656= a = cube root of 46656=a = 36cm Hence the edge of the cube = 36cm.

6. Find the edgand 27 cm.e of a cube whose volume equals that of a cuboid whose dimensions are 36 cm, 48 cm

Answer»

Let the edge of the cube be 'a'volume of cube = a^3

ACCORDING TO THE QUESTION the volume of the cube is equal to volume of a cuboid of dimensions 36cm, 48cm, 27cm

volume of cuboid = length X breadth X height = 36 X 48 X 27=46656cm cube.

as, volume of cube = volume of cuboid = a cube = 46656= a = cube root of 46656=a = 36cm

Hence the edge of the cube = 36cm.