please answer (the question
attached)
Answers
12cm² is the answer becoz one cube 6 means 2 cube equal to 12
pl mark me as the brainliest
Answer:
Total Surface Area of the cuboid formed is 10 cm²
Option (iii) is correct.
Step-by-step explanation:
We have,
Two identical cube whose Total Surface Area (TSA) is 6 cm² each.
Now,
We know that,
TSA of a cube = 6a²
Then,
6a² = 6 cm²
a² = 6/6
a² = 1
a = √1
a = 1 cm
So, each of these cube has a side length of 1 cm.
Now,
When two cubes are joined end to end, one face of the 1st cube and one face of the 2nd cube is covered.
Now, we can solve this in two ways,
Method 1 (not to be used in exams - Logical)
We know that,
When two cubes are joined end to end, one face of the 1st cube and one face of the 2nd cube is covered.
So,
The TSA of the 1st cube becomes 5a², because only 5 faces is left that is not joined with the other cube.
Similarly,
The TSA of the 2nd cube will also be 5a²
Now,
When they are joined they form a cuboid.
(Refer above image)
So,
TSA of the cuboid = New TSA of 1st Cube + New TSA of 2nd Cube
TSA = 5a² + 5a²
TSA = 10a²
But we know that,
a = 1 cm
So,
TSA = 10(1)²
TSA = 10(1)
TSA = 10 cm²
Hence,
The TSA of the cubes when joined end to end is 10 cm².
Method 2 (Solution)
We have,
a = 1 cm
So,
Each of the cubes have a side length of 1 cm.
Thus,
Length = 1 cm
Breadth = 1 cm
Height = 1 cm
Now,
When two cubes are joined end to end they form a cuboid.
So,
The dimensions of the new shape changes.
(Refer above image)
Here,
Length (l) = 1 + 1 = 2 cm
Breadth (b) = 1 cm
Height (h) = 1 cm
Since the new shape is a cuboid, we must find the TSA of the cuboid.
So,
TSA of a cuboid = 2(lb + lh + bh)
TSA = 2((2 × 1) + (2 × 1) + (1 × 1))
TSA = 2(2 + 2 + 1)
TSA = 2(5)
TSA = 10 cm²
Hence,
Total Surface Area of the cuboid formed is 10 cm²
Hope it helped and believing you understood it. All the best.
