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qaws [65]
2 years ago
12

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

Mathematics
2 answers:
valina [46]2 years ago
4 0

<u>Answer:</u>

Area = 150 m²

Volume = 125 m³

<u>Step-by-step explanation:</u>

• 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

mestny [16]2 years ago
4 0

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\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 : )

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