Area of the base of a cuboid is 30 cm². If its height is 6 cm, what is its volume ?
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QuestioN :
Area of the base of a cuboid is 30 cm². If its height is 6 cm, what is its volume?
GiveN :
- Base area of a cuboid = 30 cm².
- Height = 6 cm
To FiNd :
- The volume of the cuboid.
ANswer :
the volume of the cuboid is 180 cm³.
SolutioN :
Base area = 30 cm²
Height = 6 cm
Volume = Base Area x Height
= 30 x 6
= 180 cm³
∴Hence, the volume of the cuboid is 180 cm³.
★ Given:
Base area of a cuboid = 30 cm².
Height = 6 cm
★ To Find:
The volume of the cuboid.
★ Analysis:
We know that the volume of any 3D figure is the product of the base area and the height. The same property can be applied here.
★ Solution:
Base area = 30 cm²
Height = 6 cm
Volume = Base Area x Height
= 30 x 6
= 180 cm³
Therefore the volume of the cuboid is 180 cm³.
Important Formulae Related to Cuboid:
→ LSA = 2 (lh + bh)
→ TSA = 2 (lh + bh + lb)
→ Volume = lbh
Important Facts:
→ To find the area of a room to be whitewashed, then the formula to be used is 2 (lh + bh) + lb
→ To find TSA of a 3D figure, multiply the base perimeter with the height.
→ To find the volume of a 3D figure, multiply the base area with the height.