The volume of a cube is 8a cubic units. If three such identical cubes are stacked, what is the total surface area of the cuboid formed
Answers
Answer:
24
Step-by-step explanation:
volume of cube a^3=8,
here a=2
length=breadth=2
height=6
total surface area of cuboid=l×b×h
=2×2×6
=24
Answer:
The surface area of the new cuboid is 56a square units.
Step-by-step explanation:
We know that
Volume of a cube = side³
According to the question,
8a³ = side³
=> 2a = side
Therefore, the side of the cube = 2a
3 cubes are stacked.
On doing this, the length changes.
The breadth and the height will remain the same.
Therefore, the length = 2a * 3 = 6a units
We know that TSA of a cuboid = 2 (lb + bh + hl)
On substituting the values,
Total surface area = 2 (6a*2a + 2a*2a + 2a*6a)
= 2(12a² + 4a² + 12a²)
= 2 (28a²)
= 56a²
Therefore, the surface area of the new cuboid is 56a square units.