Find the length of a cuboid whose volume is 120 cm3breadth is 6cm and ...
To find the length of a cuboid, we can use the formula for volume:
Volume = Length × Breadth × Height
Given that the volume is 120 cm³, the breadth is 6 cm, and the height is 5 cm, we can substitute these values into the formula and solve for the length.
Volume = Length × Breadth × Height
120 cm³ = Length × 6 cm × 5 cm
Simplifying the equation, we have:
120 cm³ = 30 cm × Length
To find the length, we need to divide both sides of the equation by 30 cm:
120 cm³ ÷ 30 cm = Length
Simplifying further, we get:
4 cm = Length
So, the length of the cuboid is 4 cm.
Therefore, the correct answer is option A) 4 cm.
To summarize:
- The volume of a cuboid is given by the formula Volume = Length × Breadth × Height.
- To find the length, we rearrange the formula and solve for Length.
- Substituting the given values into the formula, we get 120 cm³ = 30 cm × Length.
- Dividing both sides of the equation by 30 cm, we find that the length is 4 cm.