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Two cubes each of 10 cm edge are joined end to end. The surface area of the resulting cuboid is
- a)1200 cm2
- b)1000 cm2
- c)800 cm2
- d)1400 cm2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two cubes each of 10 cm edge are joined end to end. The surface area o...
The length of the resulting cuboid=2 x 10 cm = 20 cm
Its width= 10 cm and its height = 10 cm
i.e. l=20cm, b=10cm, h=10 cm
∴The total surface area of the resulting cuboid
Most Upvoted Answer
Two cubes each of 10 cm edge are joined end to end. The surface area o...
Correct answer is B.Justification : When edge of 10 cm Cube join together the dimensions of formed cuboid are @Length (l) = 20 cm@Breadth(b)=10 cm @Height (h)=10 cmTotal Surface Area Of cuboid = 2(lb+bh+hl) =2(20X10+10X10+10X20) =2(200+100+200) = 2(500) = 1000 cm²
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Two cubes each of 10 cm edge are joined end to end. The surface area o...
To find the surface area of the resulting cuboid, we need to consider the surface area of each cube and the additional surface area created when they are joined end to end.
1. Surface area of a cube:
A cube has six equal square faces, so the surface area of a cube can be calculated by multiplying the length of one side by itself and then multiplying by 6.
Given that each cube has an edge length of 10 cm, the surface area of one cube is 10 * 10 * 6 = 600 cm².
2. Surface area of the resulting cuboid:
When the two cubes are joined end to end, two of their faces will form the base and top of the resulting cuboid, while the other four faces will form the sides.
a. Base and top:
The base and top of the resulting cuboid will have the dimensions of 10 cm by 10 cm, which gives a total surface area of 2 * (10 * 10) = 200 cm².
b. Sides:
The sides of the resulting cuboid will have the dimensions of 10 cm by 20 cm, as the two cubes are joined end to end. There are four sides, so the total surface area of the sides is 4 * (10 * 20) = 800 cm².
3. Total surface area:
To find the total surface area of the resulting cuboid, we add the surface area of the base and top to the surface area of the sides:
Total surface area = base and top area + side area
Total surface area = 200 cm² + 800 cm²
Total surface area = 1000 cm²
Therefore, the correct answer is option 'B' - 1000 cm².
1. Surface area of a cube:
A cube has six equal square faces, so the surface area of a cube can be calculated by multiplying the length of one side by itself and then multiplying by 6.
Given that each cube has an edge length of 10 cm, the surface area of one cube is 10 * 10 * 6 = 600 cm².
2. Surface area of the resulting cuboid:
When the two cubes are joined end to end, two of their faces will form the base and top of the resulting cuboid, while the other four faces will form the sides.
a. Base and top:
The base and top of the resulting cuboid will have the dimensions of 10 cm by 10 cm, which gives a total surface area of 2 * (10 * 10) = 200 cm².
b. Sides:
The sides of the resulting cuboid will have the dimensions of 10 cm by 20 cm, as the two cubes are joined end to end. There are four sides, so the total surface area of the sides is 4 * (10 * 20) = 800 cm².
3. Total surface area:
To find the total surface area of the resulting cuboid, we add the surface area of the base and top to the surface area of the sides:
Total surface area = base and top area + side area
Total surface area = 200 cm² + 800 cm²
Total surface area = 1000 cm²
Therefore, the correct answer is option 'B' - 1000 cm².
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