Question

A cube has an edge of 8cm . if each edge of the cube is doubled find the volume of the new cube ​

Answer 1

$\underline{ \boxed {\bold {Question}}}$

• A cube has an edge of 8cm . if each edge of the cube is doubled find the volume of the new cube .

$\underline{ \boxed {\bold {Important \: Formulass \: to \: be \: remembered}}}$

• Volume of cube of side L = L³

$\underline{ \boxed {\bold {Answer}}}$

1) Volume of cube with side = 8 cm

By given formula,

Volume = V = 8³ = 512 cm³

1) Volume of cube with side double of first cube = 2 × 8 cm

By given formula,

Volume of new cube = (2L)³ = 8(L)³

                                    = 8 × 512

                                    = 4096 cm³

                           

$\underline{ \boxed {\bold {\therefore Volume \: of \: new \: cube \: with \: side \: 16 \:cm = 4096\: cm^{2}}}}$

Hope this helps u.../

【Brainly Advisor®】

Answer 2

Given:

• Edge of cube = 8 cm

To find:

• Volume of new cube if edge of cube is doubled?

Solution:

Edge of cube after doubling its edge = 8 × 2 = 16 cm

Now, Finding volume of new cube,

We know that,

Volume of cube = a³

Here,

• a = 16 cm

Therefore,

Volume of new cube,

→ 16³ = 4096 cm³

Volume of new cube is 4096 cm³.

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More to know:

• Total surface area of cube = 6a²

• Curved surface area of cube = 4a²

• Total surface area of cuboid = 2(lb + bh + hl)

• Curved surface area of cuboid = 2(l + b)h

• Volume of cuboid = l × b × h