Question

the dimensions of a cuboid are 3 cm into 7 cm into 3 cm how many such identical cuboids are required to form a cube​

Answer 1

Answer:

Volume of cuboid -

→ 3cm × 7cm × 3cm

→ 63 cm³

Each side of cube -

We'll find the LCM of all the sides for each side of cube -

LCM of 3, 7 and 3 is 21.

Volume of cube -

side³

→ 21 × 21 × 21

→ 9261 cm³

Number of cuboids = Volume of cube / volume of cuboid

→ 9261/63

→ 143

Therefore, 143 identical cuboids are required to form a cube.

Answer 2

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Given:-

side of cube =6cm

⇒ Volume of cube =(side)³ =(6) ³ =216cm ³

Volume of cuboid =2×3×1=6cm ³

No. of cuboids needed to form such cubes = $\frac{volume of cuboid}{volume of cube}$

= $\frac{216}{6}$ =36

Hence, 36 cuboids will be needed to form a cube of 6cm.

Hence, the correct answer is 36.

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