Question

1 14 सेमी. भुजा वाले एक ठोस घन को बराबर आयतन के 8 घनों में काटा जाता है। नये
घन की भुजा की लम्बाई ज्ञात करो।​

Answer 1

Given:

14 सेमी. भुजा वाले एक ठोस घन को बराबर आयतन के 8 घनों में काटा जाता है।

A solid cube of side 14 cm is cut into 8 cubes of equal volume

To find:

नये घन की भुजा की लम्बाई ज्ञात करो।​

What will be the side of the new cube?

Solution:

We know,

$\boxed{\bold{Volume \:of\:a\:cube = side^3}}$

The side of the solid cube = 14 cm

∴ The volume of the solid cube = side³ = 14³ = 2744 cm³

Let "a" cm be the side of each of the 8 small cubes.

The solid cube is cut into 8 small cubes of equal volumes

So,

[Volume of solid cube] = 8 × [Volume of 1 small cube]

⇒ 2744 = 8 × [Volume of 1 small cube]

⇒ Volume of 1 small cube = $\frac{2744}{8}$

⇒ Volume of 1 small cube = 343 cm³

⇒ a³ = 343

⇒ a = ∛343

⇒ a = 7 cm

Thus, the side of the new cube will be → 7 cm.

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Also View:

a solid cube of 12 cm is cut into 8 cubes of equal volume what will be the side of the new cube also find the ratio between their surface area​?

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