Question

please solve with full explanation​

Answer 1

AnsWer :

• Surface area of Cube = 1014 cm².
• Diagonal of Cube = 13√3 cm.

Formula :

• Surface area of Cube = 6a².
• CSA of Cube = 4a².
• Volume of cube = a³.
• Diagonal of Cube = √3.

Solution :

We have,

Volume of cube is 2197 cm³.

Let's sides of cube be a cm.

$\tt \longmapsto {a}^{3} =2197.$

$\tt\longmapsto a = \sqrt{13 \times 13 \times 13} .$

$\tt \longmapsto a = 13 \: cm.$

Now,

We have the side of cube, 13 cm.

$\rule{100}1$

For Surface area of Cube.

$\tt \longmapsto 6 {a}^{2} .$

$\tt\longmapsto 6 \times {(13)}^{2} .$

$\tt \longmapsto 1014 \: cm.$

$\rule{100}1$

For Diagonal of Cube.

$\tt\longmapsto \sqrt{3} a.$

$\tt\longmapsto \sqrt{3} \times 13.$

$\tt \longmapsto 13 \sqrt{3} \: cm.$

$\rule{200}3$

Note : Diagram provide in attachment.

Therefore, the surface area of cube is 1014 cm² and Diagonal of Cube be 13√3 cm.

Answer 2

Answer:

volume of cube=a³

1. a3=2197
2. =a=3√2197
3. ÷a=13
4. surface area of cube =6a²
5. =6*(13)²
6. =6*169
7. =1014cm²
8. diagonal of cube=√3a
9. =√3*13
10. =22.51cm