Question

Please answer 14 question?

Class - 10th
Chapter - Surface area and Volumes

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Answer 1

${\huge{\underline{\underline{\rm{\maltese Question:-}}}}}$

Q - 3 cubes each of volume 64 cm³ are joined end to end find the length of the resulting figure .

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First , finding the side of each cube .

$\rm \: volume_{cube} = {side}^{3}$

$\mapsto \rm \: 64 \: {cm}^{3} = {s}^{3}$

$\mapsto \rm \: s = \sqrt[3]{64 {cm}^{3} }$

$\mapsto \boxed{ \rm \: side = 4 \: cm}$

Now , We are attaching 3 cubes side by side .

So ,

The new length of the figure would be = side + side + side

$\mapsto \rm \: length = 3 \times side$

$\mapsto \rm \: length = 3 \times 4 \: cm$

$\mapsto \boxed{ \rm \: length = 12 \: cm}$

&

Height and breadth would be same ,

Refer to the Attachment .

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${\large{\rm{\underline{\maltese Know\; More:}}}}$

• Volume (cube) = (side)³
• TSA (cube) = 6×(side)²
• CSA (cube) = 4×(side)²

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Answer 2

Answer:

vol. of cube = 64 cm^3

a / q , 3 × 64 = 192 cm^3

now, length= breadh = height

then, vol. = cube root of 192 = 4 root 3

so height =

$4 \sqrt{3}$

cm

Step-by-step explanation:

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