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Question

What is the height of a square based prism whose base edge is 6cms and lateral surface surface area is 288sq.cms

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Solution

Let the height of a square based prism=h

Base Edge = 6cm and

Lateral Surface Area = 288sq.cms

As, we know that,

Lateral Surface Area = 4 ×Area of one side

⇒288=4×(Base×Height)

⇒288=4×6×h

⇒288=24×h

or

h=288/24

⇒h=12 cm


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