Question

¿What is the area and volume of a cube that has edges 5 m long?
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Answer 1

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\large{\textsf{\textbf{\underline{\underline{Answer :}}}}}}`

We use the formulas for the area and volume of the cube, assuming that the length
`\bold{A=5m}`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold\red \: \bold \red A \purple = \bold \blue6 \bold \blue a {}^( \bold \orange2)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red A \purple= \bold \blue6 \bold \blue \: \: \blue • \: \: \bold \blue5 {}^{ \bold\orange{ 2}}`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red A \purple= \bold \blue 1 \bold \blue5 \bold \blue0 \bold \blue m {}^( \bold \orange2)`

Now we will find the volume of the cube :-

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\bold \red V \purple = \bold\blue a {}^( \bold \orange3)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red V \purple = \bold \blue 5 {}^( \bold \orange3)`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red V \purple = \blue{ \bold{125m}} {}^( \bold \orange3)`

Answer: The area of the cube is 150 m² and the volume it Equal a 125 m³

I hope I've helped : )

Answer 2

Area = 150 m²

Volume = 125 m³

Explanation:

• The surface area of a cube is given by the formula:

`Area = 6r^2`

where r is the length of an edge of the cube = 5 m.

∴ Area = 6(5)²

= 6(25)

= 150 m²

• The volume of a cube is given by the formula:

`Volume = r^3`

∴ Volume = (5)³

= 125 m³