Question

1)
Uday makes a cuboid of plasticine of side 3 cm, 5 cm and 3 cm. How many
cuboids will be need from a cube​

Answer 1

Answer:

Let

length of cubiod (l) = 3cm

Breath of cubiod (b) = 5cm

Height of cubiod (h) = 3cm

volume of cuboid = l×b×h

=3×5×3 =45cm ^3

Cube is a special form of cuboid with all sides equal .

side of biggest cube can be formed by joining each side of cuboid 3,5,3 is equal to LCM of sidea of cuboid.

Side of biggest cube = LCM of 3,5,3

= 15 ( prime numbers)

Volume of cube = side × side × side cm^3

= 15×15×15 =3375

Number of cuboids required to form a cube is

volume of biggest side of cube

= _________________________

volume of cuboid

= 3375

______

45

= 5×15

=75 cuboids

Hence no of cuboids required are 75.