Question

3. Three metallic solid cubes of sides 6 cm,
8 cm and 10 cm are melted to form a
single cube. The length of the edge of the
new cube is​

Answer 1

Answer:

the total volume of the three small cubes

=(6^3+8^3+10^3) cu cm

=(216+512+1000) cu cm

=1728 cu cm

=(12 )^3 cu cm

so the edge of the new cube is 12 cm

Answer 2

$\sf{\huge{\underline{\purple{Given :-}}}}$

• Three metallic solid cubes of sides 6 cm, 8 cm and 10 cm are melted to form a single cube.

$\sf{\huge{\underline{\pink{To\:Find :-}}}}$

• The length of the edge of the new cube.

$\sf{\huge{\underline{\green{Answer :-}}}}$

We have,

Three metallic solid cubes of sides 6 cm, 8 cm

and 10 cm are melted to form a single cube.

The volume of a³.

• First cube = 6 cm

The volume of 6³

➝ 6 × 6 × 6

➝ 36 × 6

➝ 216 cm³

The volume of 8³

➝ 8 × 8 × 8

➝ 64 × 8

➝ 512 cm³

The volume of 10³

➝ 10 × 10 × 10

➝ 100 × 10

➝ 1000 cm³

The volume of the cube = sum of all the cubes .

So, The volume of cube

➝ 216 + 512 + 1000

➝ 728 + 1000

➝ 1728 cm³

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