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5 votes
Find the volume of right square Pyramid altitude is 15cm and diagonal is 10cm.​

User Rodrigue
by
8.3k points

1 Answer

4 votes

Answer:

250 cm^3.

Explanation:

The volume = 1/3 * area of base * height

The base is square and the diagonal is 10cm, so by Pythagoras the lebgth of the side (s) can be calculated as follows:

10^2 = s^2 + s^2

s^2 = 100/2

s^2 = 50

x = √50

So the area of the base = (√50)^2 = 50 cm^2

Volume = 1/3 * 15 * 50

= 25 cm^3.

User Ziky
by
8.5k points

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