Answer :
Surface area equals six times side times side, because there are six faces in a cube and each face has an area of side times side. Using that equation, the surface area of cube a is six times side times side, which is 6×2×2, which equals 24. The surface area of Cube b is 6×4×4, which equals 24×4. Since the service area of Cuba be is four times the surface area of cube a, the answer to the first question is no.
Answer:
The side length of Cube B is twice that of Cube A.
Surface area of Cube B is not twice that of Cube A.
Volume of Cube B is not twice that of Cube A.
Step-by-step explanation:
Cube A is 2×2×2.
Cube B is 4×4×4.
Side length of Cube A is 2 and side length of Cube B is 4. So, the side length of Cube B is twice that of Cube A.
Surface area of a cube is
[tex]Area=6(side)^2[/tex]
Using this formula we get
[tex]\text{Area of Cube A}=6(2)^2=24[/tex]
[tex]\text{Area of Cube B}=6(4)^2=96[/tex]
96 is 4 times of 24. So, surface area of Cube B is not twice that of Cube A.
Volume of a cube is
[tex]Volume=(side)^3[/tex]
Using this formula we get
[tex]\text{Volume of Cube A}=(2)^3=8[/tex]
[tex]\text{Volume of Cube B}=(4)^3=64[/tex]
64 is 8 times of 8. So, volume of Cube B is not twice that of Cube A.