Final answer:
To find the length of a cuboid with a volume of 24 cm³, breadth of 3 cm, and height of 2 cm, divide the volume by the product of the breadth and height, resulting in a length of 4 cm.
Step-by-step explanation:
The student is asking to find the length of a cuboid given the volume, breadth, and height. The volume of a cuboid is calculated by multiplying its length, breadth, and height together. Therefore, the formula to find the length (L) is L = V / (B × H), where V is the volume, B is the breadth, and H is the height.
To find the length of a cuboid with a volume of 24 cm³, a breadth of 3 cm, and a height of 2 cm, we use the following steps:
- Write down the formula for the volume of a cuboid: V = L × B × H.
- Substitute the known values into the formula: 24 cm³ = L × 3 cm × 2 cm.
- Solve for L: L = 24 cm³ / (3 cm × 2 cm) = 24 cm³ / 6 cm² = 4 cm.
Thus, the length of the cuboid is 4 cm.