Question

If the volumes of both solids are the same, which of the following corresponds to the value of a: the side length of the base of the square prism?

Answer 1

volume of a prism is ?

Answer 2

volume of a sphere is?

Answer 3

hint the prism is the square lol :)

Answer 4

well in this case that is ^_-

Answer 5

64??

Answer 6

@xapproachesinfinity

Answer 7

what did you do so far?

Answer 8

Vsquare=a^3
Vsphere=4/3 pi r^2
so a^3=4/3 pi r^2
r=4
a^3=4/3 pi (4)^2

Answer 9

find a in that equation

Answer 10

in decimal form I got 150.80 @xapproachesinfinity

Answer 11

sphere 4/3*pi*r^3

Answer 12

is that the answer? @triciaal

Answer 13

no the formula for the volume of the sphere r^3 not r^2

Answer 14

so would it be 4.188 ^3? @triciaal

Answer 15

OH WAIT is it just 4 sq root 3????

Answer 16

@xapproachesinfinity volume of the prism = a^2* h where h is the height
why did you use a^3 ?
anyone
how is the height related to the radius?


given volume of prism = volume of sphere
a^2*h = 4/3*pi*r^3
I am missing the expression for h we need to solve for a

Answer 17

im so confused I thought I was suppose to use the ^3 you wanted

Answer 18

what is the height?