Question

For the following two questions find the volume of the square pyramids shown.
1: A. 484cm^3 B. 44cm^3 C. 528cm^3 D. 792cm^3
2: A. 4,000ft^3 B. 6,000ft^3 C. 6,250ft^3 D. 7,500ft^3
Medal + fan for both answers!

Answer 1

#1

Answer 2

#2

Answer 3

@Mehek14 Any Ideas on this?

Answer 4

For the first one, it's just A = lwh/3

Answer 5

For the second one you have to visualize the diagonal line to be the hypotenuse of a triangle that forms with the base and tip of the pyramid.

Since it's a square based pyramid, you know the base is 30 ft all around, and exactly in the middle would be 15 ft. Therefore

C^2 = A^2 + B^2
25^2 = 15^2 + B^2
B^2 = 625 - 225
B^2 = 400
B = 20 ft <-- this is your height of the pyramid

Now use A = lwh/3 again.

Answer 6

528! Thx :)
On number two I guess I did it wrong? I got 3,000 and thats not a choice...

Answer 7

Your dimensions would be 30x30x20

Answer 8

hmm.. I'm not sure what I did wrong the first time around, but I got 6,000 that time! Thank you!