Question

a cuboid is 12 cm long 10cm board and "a" cm high if 15 cubes of edges 4 cm can be made from this cuboid find value of 'a'​

Answer 1

Answer:

The Value Of Height that is a = 8cm

Step-by-step explanation:

For a Cube,

Edge = 4cm

Volume = 4 x 4 x 4

             = 64 cubic cm.

Volume of 15 Cubes = Volume of Cuboid

Volume of 15 Cubes = 15 x 64

                                  = 960 cubic cm.

For a Cuboid,

Length = 12 cm

Breadth = 10 cm

Height = a

Volume of Cuboid = l x b x h

                               = 12 x 10 x a

                               = 120a

Since Volume of 15 Cubes = Volume of Cuboid

960 cubic cm. = 120a

960/120 = a

 a = 8cm

Therefore Height of the cuboid = a = 8 cm

Thank You

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