Question

Consider a cube of dimensions 4 cm x 4cm x 4 cm, and a a cuboid of dimensions 3. cm x 4 cm x 5 cm. If x number of cubes and y number of cuboids are melted together to form a large cuboid of dimension 4 cm x 12 cm x 17 cm. then x =​

Answer 1

Answer:

volume of 1 cube = 4*4*4 = 64cm³

volume of 1 cuboid = 3*4*5 = 60cm³

now volume of large cuboid = 4*12*17 => 816 cm³

ie ,

64x+60y = 816 ==> 16x+15y = 204

and on solving we get x= 9 and y = 4 .

so 9 cubes and 4 cuboids are melted