Question

Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

3cm

6cm-NO

9cm

12cm -No

Answer 1

Volume of Pyramid = (1/3)*(Volume of Cube)

Answer 2

2) Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi.

C = 5π; A = 20π

C = 10π; A = 20π

C = 10π; A = 25π- i think

C = 5π; A = 25π

Answer 3

C = 10π; A = 25π is correct

Answer 4

3) The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 360 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? Use 3.14 for pi.

Answer 5

@jim_thompson5910 so would number one be 9cm

Answer 6

Volume of Pyramid = (1/3)*(Volume of Cube)

Volume of Pyramid = (1/3)*(36)

Volume of Pyramid = 12 cubic cm

Answer 7

So there has to be a typo somewhere

Answer 8

i tried 12 and 6 both where wrong pretest

Answer 9

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest tenth

Answer 10

then the next closest thing is 9

but I still think there's a typo

Answer 11

what about number three

Answer 12

and the last one

Answer 13

Jim T.: I'd appreciate hearing the reasoning behind "Volume of Pyramid = (1/3)*(Volume of Cube)."

Vol of a pyramid =(1/3) (area of base) (height)
Vol of a cube:= (area of base) (height).

Could you cite some reference that testifies to and explains this?

Answer 14

if you look at this page

http://www.mathopenref.com/pyramidvolume.html

it says

V = (1/3)*b*h

V = volume of pyramid
b = area of base
h = height

but b*h is the volume of the prism with the same base and height as the pyramid

Answer 15

please i only need number 3 and the last one

Answer 16

3) The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 360 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? Use 3.14 for pi.

Still there, Britt? And, if so, is this the problem you want help with?

Answer 17

Unless I'm sorely mistaken, the answer is unbelievably simple, and much of the info given in this problem is irrelevant and unneeded. Think about this problem that way and see what you come up with.

Answer 18

yes i am here

Answer 19

@mathmale

Answer 20

148.365

Answer 21

Britt: What is the volume of the stack of pennies on the left?

Answer 22

that what i got i did it wrong i don't understand

Answer 23

britt5 typed:

3) The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 360 mm3

Answer 24

then, again, what is the volume of the left stack?

Answer 25

Britt: the problem statement, as you typed it, tells us that the volume of the left stack of pennies is 360 mm^3 (360 cubic millimeters).

Answer 26

Britt, have you any reason to think that the stack of pennies on the right is different in volume from that on the left?

Answer 27

just the picture

Answer 28

But you could straighten up that stack of pennies, and then that stack on the right would be identical to the stack on the left, wouldn't it? So try again to define/calculate/find the volume of the stack on the right.

Answer 29

thank @mathmale

Answer 30

Britt, the point I'm trying to make is that the 2 stacks of pennies have precisely the same volume. so the answer , in cubic mm, is simply 360 mm^3, same as for the left stack. OK?

Answer 31

Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
is this questions answer 9????