Question
Download Solution PDFThe surface area of three faces of a cuboid sharing a vertex are given as 25 m2, 32 m2 and 32 m2. What is the volume of the cuboid?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The surface area of three faces = 25 m2, 32 m2 and 32 m2
Concept used:
The surface area of one face
1.) Length × Breadth
2.) Breadth × Height
3.) Height × Length
Volume of cuboid = Length × Breadth × Height
Calculations:
We have,
⇒ Length × Breadth = 25 m2
⇒ Breadth × Height = 32 m2
⇒ Height × Length = 32 m2
Multiplying the above three equations, we get,
⇒ (Length × Breadth × Height)2 = 25 × 32 × 32
Taking square root on both sides,
⇒ (Length × breadth × Height) = 5 × 32
⇒ Length × breadth × Height = 160
⇒ Volume of cuboid = 160 m3
∴ The volume of cuboid is 160 m3
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