Math Question for Senior Secondary School Students

Question

KinahYepesTyro

Asked: April 6, 20212021-04-06T11:22:40+00:00 2021-04-06T11:22:40+00:00In: Geometry, High School/Senior Secondary School

If a surface area of a cube is 54, what is its volume?

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acedstud · Accepted Answer · 2021-04-06T19:18:51+00:00

Best Answer

acedstud

The surface area of a cube is given by $A=6l^2$ .

Thus, $6l^2=54\Rightarrow l^2=\dfrac{54}{6}=9\Rightarrow l=\sqrt{9}=3$ .

The volume of a cube is given by $V=l^3$ .

Thus, $l^3=3^3=27$ .

Therefore the volume of the cube is 27.

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