Find the total surface area of a cube whose volume is 64cm
3
.
- A64 cm^2
- B84 cm^2
- C16 cm^2
- D96 cm^2
Solution & Step-by-step Explanation
1. Find the side length (a) of the cube:
The volume of a cube is given by V=a
3
.
a
3
=64cm
3
a=
3
64
=4cm
Calculate the total surface area (TSA) of the cube:
The total surface area formula is TSA=6a
2
.
TSA=6×(4)
2
TSA=6×16=96cm
2
Therefore, the total surface area of the cube is 96cm
2
.
The volume of a cube is given by V=a
3
.
a
3
=64cm
3
a=
3
64
=4cm
Calculate the total surface area (TSA) of the cube:
The total surface area formula is TSA=6a
2
.
TSA=6×(4)
2
TSA=6×16=96cm
2
Therefore, the total surface area of the cube is 96cm
2
.