Question

Question:-
If we melt a cuboid of dimensions 4cm × 3cm × 2cm into a Cube. What is the side of cube.​

Answer 1

Given

• Length of the cuboid = 4cm
• Breadth of the cuboid = 3cm
• Height of the cuboid = 2cm

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To find

• Each side of the cube.

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Solution

• Here, volume of cube and cuboid are equal because both shapes are made by smae quantity of material.

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Volume(Cuboid) = l × b × h

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→ Volume = 4 × 3 × 2

→ Volume = 24cm³

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• As we know

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Volume (Cube) = a³

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Volume of cuboid = Volume of cube

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→ Volume of Cuboid = a³

→ 24 = a³

→ a = ³√24

→ a = 2√3cm

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Hence,

• Length of each side of the cube is 2√3cm.

Answer 2

Question:

• If we melt a cuboid of dimensions 4cm × 3cm × 2cm into a Cube. What is the side of cube.

Given:

• dimensions of the cuboid are 4cm × 3cm ×2cm.

To Find:

• The side of the cube.!

Solution:

we,know the dimensions are 4cm × 3cm ×2cm.

so, volume of the cubiod = 24cm

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hence the cubiod is melted to form a cube so their volumes are the same.!

$\sf{ \red{ \underbrace{volume \: of \: a \: cube : side \times side \times side }}}$

$: \implies \tt 24 {cm}^{3} = {s}^{3} \: \: \: \\ \\ : \implies \tt \: side = \sqrt[3]{24} \\ \\ : \implies \tt \: side = 2.88449914$

hope this helps.!!