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What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 12 cm? A. 576 B. 288 C. 1,728 D. 864 All those are cm^3
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What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 12 cm?

A. 576
B. 288
C. 1,728
D. 864

All those are cm^3

User George Hanson
by
9.0k points

1 Answer

3 votes
The correct answer is option A. 576 cm^3

The volume of cube if side 12 cm = 12*12*12 cm^3
= 1728 cm^3
Now, volume of square pyramid =
a^(2) (h)/(3)

For maximum volume of square pyramid, a = h = 12 cm

Therefore, volume of square pyramid =
( a^(3) )/(3) = 1728/3 = 576cm^3
User BobC
by
7.4k points
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