Question

please answer 11,12,13,14 not 10th one please answer it and show how you got the solution make sure it is correct and don't spam please don't spam..​

Answer 1

$\huge \text{Question - }$

The volume of a cube is 12.167 cm³ , find the length of its edge .

$\huge \text{Answer - }$

Let -

• volume of cube root be a³

then -

$\dashrightarrow\sf \: {a}^{3} = {12.167 }^{3}$

and

$\dashrightarrow\sf \: {a} = 2.3$

as 2.3 × 2.3 × 2.3 = 12.167

Therefore,

$\;\;\underline{\boxed{\tt{length \: of \: its \: edge \;\;=\;\bf{\pink{2.3 \: cm}}}}}$

$\huge \text{Question - }$

the volume of the cube is ,17.576 cm³ . find the length of an edge of the cube .

$\huge \text{Answer - }$

Let -

• volume of cube root be a³

then -

$\dashrightarrow\sf \: {a}^{3} = {17.576 }^{3}$

and

$\dashrightarrow\sf \: {a} = 2.6$

as 2.6 × 2.6 × 2.6 = 17.576

Therefore,

$\;\;\underline{\boxed{\tt{length \: of \: its \: edge \;\;=\;\bf{\red{2.6\: cm}}}}}$

$\huge \text{Question - }$

the volume of a cube is doubled the the volume of the cuboid with volume 6.912 cm³ . find the length of an edge of the cube .

$\huge \text{Answer - }$

In the question it is given that the volume of a cube is double the volume of the cuboid

$\sf\dashrightarrow \: volume \: of \: a \: cube = 2 \times volume \: of \: cuboid$

$\sf\dashrightarrow \: ( {edge}^{3} ) = 2 \times 6.912$

$\sf\dashrightarrow \: edge = \sqrt[3]{13.824}$

$\sf\dashrightarrow \: edge = 2.4 \: cm$

$\;\;\underline{\boxed{\tt{length \: of \: its \: edge \;\;=\;\bf{\green{2.4 \: cm}}}}}$

$\huge \text{Question - }$

The volume of a cube is 1.331 cm³. find the length of its edge. If the length of edge is doubled, by how many times will the volume increase ?

$\huge \text{Answer - }$

Let -

• volume of cube root be a³

then -

$\dashrightarrow\sf \: {a}^{3} = {1.331 }^{3}$

and

$\dashrightarrow\sf \: {a} = 1.1$

as 1.1 × 1.1 × 1.1= 1.331

Therefore,

$\;\;\underline{\boxed{\tt{length \: of \: its \: edge \;\;=\;\bf{\blue{1.1 \: cm}}}}}$

Now it is said that if the length of the the edge is doubled

$\dashrightarrow\sf \: 1.1 \times 2 = 2.2 cm$

Increase in volume

$\dashrightarrow\sf \: 2.2 \times 2.2 \times 2.2 = {10.642 cm }^{3}$

$\;\;\underline{\boxed{\tt{Incease \: in \: volume \;\;=\;\bf{\blue{ {10.642 \: cm ^{3} }}}}}}$

Number of time it increases -

$\dashrightarrow\sf \: \dfrac{10.642}{1.331}$

$\;\;\underline{\boxed{\tt{\bf{\blue{ {8 \: times }}}}}}$

$\huge \text{Question - }$

The volume of a cube is 0.125 cm³. find the length of its edge. if the length of edge is is increased 3 times (tripled) , by how many times will the volume increase ?

$\huge \text{Answer - }$

Let -

• volume of cube root be a³

then -

$\dashrightarrow\sf \: {a}^{3} = {0.125}^{3}$

and

$\dashrightarrow\sf \: {a} = 0.5$

as 0.5 × 0.5 × 0.5= 0.125

Therefore,

$\;\;\underline{\boxed{\tt{length \: of \: its \: edge \;\;=\;\bf{\purple{0.5 \: cm}}}}}$

Now it is said that if the length of the the edge is tripled

$\dashrightarrow\sf \: 0.5 \times 3 = 1.5 cm$

Increase in volume

$\dashrightarrow\sf \: 1.5 \times 1.5 \times 1.5 = {3.375 cm }^{3}$

$\;\;\underline{\boxed{\tt{Incease \: in \: volume \;\;=\;\bf{\purple{ {3.375 \: cm ^{3} }}}}}}$

Number of time it increases -

$\dashrightarrow\sf \: \dfrac{3.375}{0.125}$

$\;\;\underline{\boxed{\tt{\bf{\purple{ {27\: times }}}}}}$

Answer 2

Answer:

please answer 11,12,13,14 not 10th one please answer it and show how you got the solution make sure it is correct and don't spam please don't spam..

hi army