Ask Question
3 May, 02:38

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
Answers (1)
  1. 3 May, 03:02
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers