Question

if volume of two sphere are in
cube is 1798 cm3 the lenth of its
edge is equal to
b) 12 cm
a)7cm
c)18cm d) 19 cm​

Answer 1

Answer:

$a)12cm$

Step-by-step explanation:

Reason:

$= \sqrt[3]{1728 {cm}^{3} }$

[ now cube the following ]

$= \sqrt[3]{12 \times 12 \times 12 {cm}^{3} }$

[ now you got your answer ]

$= 12cm$

Answer 2

Length of edge of a cube is equal to (b) 12 cm.

Step-by-step explanation:

We are given the volume of two sphere which are in a cube is $1798cm^{3}$ and we have to find the length of edge of cube.

• Formula used,

Volume of cube = $a^{3}$

a is the edge length or side of a cube.

• Calculation for edge length of a cube,

There are two spheres are in a cube so the volume of two spheres is equal to volume of cube.

So we have the volume of a cube which is $1798cm^{3}$ .

By using simple formula we will get the answer,

Volume of cube = $a^{3}$

            $1798cm^3=a^3$

Cube root of volume will give the edge length,  

               $a=\sqrt[3]{1798cm^{3} }$

              $a=12 cm$

In this way we get the answer as the edge length is 12 cm.