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A square pyramid and a cube have the same volume if the length of each side of the base of the square pyramid is 2 cm in the height of the cube is 4 cm what is the height of the pyramid

a 8cm
b 16cm
c 24cm
d 48 cm

1 Answer

7 votes
Vol sq. pyramid = 1/3×s^2×h
Vol cube = s^3
since height of cube is 4, that height = s
V = (4)^3 = 64 cubic cm
now since their Vs are the same,
1/3×s^2×h = 64
they said length of side in square pyramid
was 2, then:
1/3×(2)^2×h = 64
1/3×4×h = 64
4/3 h = 64
h = 64×3/4 = 16×3 = 48 cm

D) is the correct answer
User Addy
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