Question

A cube of edge 6 cm is melted and recast into a cuboid of lenght 8 cm and breadth 5 cm.Find the height of the cuboid.​

Answer 1

Answer:

Height of the cuboid=5.4cm

Step-by-step explanation:

Given:-

A cube of edge 6 cm is melted and recast into a cuboid of lenght 8 cm and breadth 5 cm.

To find:-

Find the height of the cuboid.

Solution:-

The edge of the cube(a)=6 cm

if it is melted and recast into cuboid

Length of the cuboid(l)=8cm

Breadth of the cuboid(b)=5cn

Using Concept:-

If a solid is converted into another solid then the volumes of both solids are equal.

Using formula:-

Volume of the cube=a³ cubic units

Volume of the cuboid=lbh cubic units

now volume of the cube=a³

V=6³

V=216cm³-----(1)

Volume of the cuboid=lbh

=>8×5×h

=>40h cm³-----(2)

(1)&(2) are equal

=>40h=216

=>h=216/40

=>h=5.4cm

Answer:-

Height of the cuboid=5.4cm

Answer 2

Answer:

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