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The volume of resulting cuboid formed when two cubes each of side 6 cm are joined end to end is
- a)864 cm3.
- b)648 cm3.
- c)432 cm3.
- d)416 cm3.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The volume of resulting cuboid formed when two cubes each of side 6 cm...
Correct answer is 'C' because of
volume of cuboid =
length *height* breadth= 12*6*6=
432 cm3
volume of cuboid =
length *height* breadth= 12*6*6=
432 cm3
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Community Answer
The volume of resulting cuboid formed when two cubes each of side 6 cm...
To find the volume of the resulting cuboid formed when two cubes each of side 6 cm are joined end to end, we need to consider the dimensions of the resulting cuboid.
Let's break down the problem step by step:
1. Visualize the cubes:
- Each cube has a side length of 6 cm.
- When two cubes are joined end to end, one face of each cube forms the base of the resulting cuboid.
2. Identify the dimensions of the resulting cuboid:
- The length of the resulting cuboid is equal to the sum of the side lengths of the two cubes that are joined end to end, which is 6 + 6 = 12 cm.
- The width and height of the resulting cuboid are each equal to the side length of the cube, which is 6 cm.
3. Calculate the volume of the resulting cuboid:
- The volume of a cuboid is given by the formula: Volume = length × width × height.
- Substituting the values, we have: Volume = 12 cm × 6 cm × 6 cm.
- Simplifying, we get: Volume = 432 cm³.
Therefore, the volume of the resulting cuboid formed when two cubes each of side 6 cm are joined end to end is 432 cm³, which corresponds to option C.
Let's break down the problem step by step:
1. Visualize the cubes:
- Each cube has a side length of 6 cm.
- When two cubes are joined end to end, one face of each cube forms the base of the resulting cuboid.
2. Identify the dimensions of the resulting cuboid:
- The length of the resulting cuboid is equal to the sum of the side lengths of the two cubes that are joined end to end, which is 6 + 6 = 12 cm.
- The width and height of the resulting cuboid are each equal to the side length of the cube, which is 6 cm.
3. Calculate the volume of the resulting cuboid:
- The volume of a cuboid is given by the formula: Volume = length × width × height.
- Substituting the values, we have: Volume = 12 cm × 6 cm × 6 cm.
- Simplifying, we get: Volume = 432 cm³.
Therefore, the volume of the resulting cuboid formed when two cubes each of side 6 cm are joined end to end is 432 cm³, which corresponds to option C.
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The volume of resulting cuboid formed when two cubes each of side 6 cm are joined end to end isa)864cm3.b)648cm3.c)432cm3.d)416cm3.Correct answer is option 'C'. Can you explain this answer?
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