Question

Three cuboid of dimensions 5 cm into 6 cm into 7 cm 4 cm into 7 into 8 cm and 2CM 3 cm and 13 cm melted in cube .Find side of cube​

Answer 1

Answer:

Three cuboid of dimension 5cm×6cm×7cm

4cm×7cm×8cm & 2cm×3cm×13cm

are melted & converted into cube.

Cuboid 1=5cm×6cm×7cm …………(1)

Cuboid 2=4cm×7cm×8cm ………….(2)

Cuboid 3=2cm×3cm×13cm ……………(3)

Now volume of cuboid (1+2+3)= volume of cube (2)

Let 'a' be the edge of cube formed then

Volume of cuboid 1=lbh=210cm

3

Volume of cuboid 2=lbh=224cm

3

Volume of cuboid 3=lbh=78cm

3

From equation (4) we get

a

3

=210+224+78

a

3

=512

a

3

=(8)

3

[a=8]

Hence edge of cube is 8cm.

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Answer 2

Answer:

volume of the melted cube

(5×6×7)cu cm+(4×7×8)cu cm+(2×3×13) cu cm

=(210+224+78) cu cm

=512 cu cm

=8^3 cu cm

so the side of the cube is 8 cm