14) Find the volume of a cube whose total surface area is 216sqm
Answers
Answer:
216
Step-by-step explanation:
216 is the volume of a cube whose total surface area is 216sqm
Answer:
Volumeofcube=216m
3
ExplanaTion:
It is given that surface area of a cube is 216 m²
We've to find the volume of cube.
We know that -
\large{\boxed{\sf{\red{Surface\:area\:of\:cube\:=\:6a^{2}}}}}
Surfaceareaofcube=6a
2
\therefore∴ 6a² = 216
\longrightarrow⟶ a² = \dfrac{216}{6}
6
216
\longrightarrow⟶ a² = 36
\longrightarrow⟶ a = ±√36
Rejecting the negative value, we get,
\longrightarrow⟶ \sf{\blue{a = 6\:m}}a=6m
We also know that,
\large{\boxed{\sf{\green{Volume\:of\:cube\:=\:a^{3}}}}}
Volumeofcube=a
3
\longrightarrow⟶ Volume of cube = 6³
\longrightarrow⟶ \sf{\pink{Volume\:of\:cube\:=\:216\:m^{3}}}Volumeofcube=216m
3
Yes, numerically value of surface area and volume is same