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CBSE Class 10 Answered

The base of pyramid is a rectangle of sides 18m×26mand is slant height to shorter side of base 24m find volume
Asked by KK7132593KAILASH | 08 Sep, 2019, 02:25: PM
answered-by-expert Expert Answer
The slant height to the shorter side of the base (i.e. side of length 18 m) is 24 m
So, a right angled triangle is formed with hypotenuse as slant height = 24m and base as 13 m
Therefore height h of the pyramid is obtained by Pythagoras theorem
therefore h squared equals 24 squared minus 13 squared equals 407 rightwards double arrow h equals square root of 407 A r e a space o f space t h e space b a s e space equals space l e n g t h space cross times space b r e a d t h space equals space 18 cross times 26 V o l u m e space o f space t h e space p y r a m i d equals 1 third cross times A r e a space o f space t h e space b a s e space cross times space h e i g h t space o f space p y r a m i d therefore V o l u m e equals 1 third cross times 18 cross times 26 cross times square root of 407 equals 156 square root of 407 space m cubed
Answered by Renu Varma | 09 Sep, 2019, 11:16: AM

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