Question

shyam has colourful cuboidal blocks of sides 3cm, 5cm, 3cm. how many such blocks will be needed to form a perfect cube

Answer 1

we will need more 2 such blocks to make a perfect cube as 5cm is once and to make a cube it is needed to have 3

Answer 2

The volume of a cuboid is l*b*h so volume of cuboid = 5*3*3cm =45 cm                             The lcm of the sides will be the Side of the cube so lcm of 5,3,3= 15 cm.                            volume of cube = s*s*s = 15*15*15 = 3375.        The number of cuboids = volume of cube  /volume of cuboid = 3375/45 =75 blocks