Question
Download Solution PDFThe base of a pyramid is a square of side 10 cm. If its height is 10 cm, then the area (in cm2) of its lateral suface is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The base of the pyramid is a square
Side of square = 10 cm
Height of pyramid = 10 cm
Concept used:
Lateral surface = (1/2) × Perimeter of the base × Slant height
Calculations:
Slant height = EF
Height = EO = 10 cm
OF = 10/2 = 5 cm
In ΔEOF,
EF2 = OE2 + OF2
⇒ 102 + 52
⇒ EF = √125 = 5√5
Slant height = EF = 5√5 cm
Perimeter of the base = 4 × 10 = 40 cm
Lateral surface = (1/2) × Perimeter of the base × Slant height
⇒ (1/2) × 40 × 5√5
⇒ 100√5 cm
∴ The lateral surface are of the pyramid is 100√5 cm2
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