?
The areas of three consecutive faces of a cuboid are 12 cm2, then the volume (in cm3) of the cuboid is
Answer & Solution
Correct Answer:
Option
D
Let the three sides of the cuboid be $$l$$, b and h
⇒ $$l$$b = bh = h$$l$$ = 12
⇒$$l$$2b2h2 = 12 × 12 × 12
⇒$$l$$2b2h2 = 1728
⇒ $$l$$bh = $$\sqrt {1728} $$
⇒ $$l$$bh = $$12\sqrt {12} $$
⇒ $$l$$bh = $$24\sqrt 3 {\text{ c}}{{\text{m}}^3}$$
⇒ $$l$$b = bh = h$$l$$ = 12
⇒$$l$$2b2h2 = 12 × 12 × 12
⇒$$l$$2b2h2 = 1728
⇒ $$l$$bh = $$\sqrt {1728} $$
⇒ $$l$$bh = $$12\sqrt {12} $$
⇒ $$l$$bh = $$24\sqrt 3 {\text{ c}}{{\text{m}}^3}$$
Join the Discussion
Login to post a comment or share your explanation.
Login