2 cubes each of volume 64cm3 are joined end to end.Find the surface area resulting cuboid
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Answer:-
The surface area of resulting cuboid is 160cm².
Step-by-step Explanation:
To Find
The surface area of resulting cuboid.
Given
Two cubes each of volume 64cm³ are joined end to end.
As we know that,
Volume of cube = (a)³
- a = side of cube.
Finding, Side of a cube
→ (a)³ = 64
→ (a)³ = 4 × 4 × 4
→ a = 4cm
Hence, The side of cube is 4cm.
Now, finding total length of the cube:
- 4cm + 4cm = 8cm
And the breadth and height will remain same 4cm and 4cm respectively.
We have,
Length: 8cm
Breadth: 4cm
Height: 4cm
Finding surface area of resulting cube:
As we know that,
Surface area of cuboid = 2(lb + bh + hl).
Where,
l = length, b = breadth, h = height
→ 2(lb + bh + hl)
→ 2(8*4 + 4*4 + 4*8)
→ 2(32 + 16 + 32)
→ 2(80)
→ 160cm²
The required answer is 160cm².
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