Page No
Q.10
from the given figure calcubte the value of
be & Y
5
za
Answers
Answer:
✪ ANSWER ✪:-
figure not given
Step-by-step explanation:
Answer:
GiveN:
Area of adjacent faces are 50cm², 30cm² and 20cm².
To FinD:
Volume of the rectangular box?
Step-by-Step Explanation:
Let the length, breadth and the height of the cuboid be l, b and h.
Area of adjacent faces in terms of l,b and h
Area of faces with sides l and b = lb
Area of faces with sides b and h = bh
Area of faces with sides l and h = lh
Now multiplying lb, bh, and lh
= lb × bh × hl
= l²b²h²
= (lbh)²
We know lbh = V (Volume of the cuboid). Then,
⇒ (lbh)² = V²
⇒ lb × bh × hl = V²
Now plugging the given values of lb, bh and hl in the above equation,
⇒ V² = 50 cm² × 30 cm² × 20 cm²
⇒ V² = 30000 cm⁶
⇒ V = √30000 cm⁶
⇒ V = 173.21 cm³
Hence,
The required volume of the cuboid will be 173.21 cm³ (Ans)