A solid piece of metal in the form of a cuboid of dimensions 24 cm - 4 cm - 4 cm is melted down and recasted in to a cube- Find the length of each edge of the cube-

Volume>of>cube>=24·>4·>4 =384cm^2 let>length>of>cube>be>x> then>volume>of>cube>>x^3 orx^3=3 ...

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Standard VIII

Mathematics

Total Surface Area of a Cuboid

A solid piece...

Question

A solid piece of metal in the form of a cuboid of dimensions 24 $c m \times 4 c m \times 4 c m$ is melted down and recasted in to a cube. Find the length of each edge of the cube.

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Solution

$V o l u m e o f c u b e = 24 \cdot 4 \cdot 4 = 384 c m^{2} l e t l e n g t h o f c u b e b e x t h e n v o l u m e o f c u b e x^{3} o r x^{3} = 384 ∴ x \sqrt[3]{384} = \sqrt[3]{6 \cdot 4 \cdot 4 \cdot 4} = 4 \sqrt[3]{6} c m$

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A solid piece of metal in the form of a cuboid of dimensions 24cm×4cm×4cm is melted down and recasted in to a cube. Find the length of each edge of the cube.

Volumeofcube=24⋅4⋅4=384cm2letlengthofcubebexthenvolumeofcubex3orx3=384∴x3√384=3√6⋅4⋅4⋅4=43√6cm

A solid piece of metal in the form of a cuboid of dimensions 24 $c m \times 4 c m \times 4 c m$ is melted down and recasted in to a cube. Find the length of each edge of the cube.

$V o l u m e o f c u b e = 24 \cdot 4 \cdot 4 = 384 c m^{2} l e t l e n g t h o f c u b e b e x t h e n v o l u m e o f c u b e x^{3} o r x^{3} = 384 ∴ x \sqrt[3]{384} = \sqrt[3]{6 \cdot 4 \cdot 4 \cdot 4} = 4 \sqrt[3]{6} c m$