+0  
 
0
51
3
avatar

So I had 2 questions that I am stumped on am i just not smart or are these actually hard. 

1. The figure shown is a cube. The distance between vertices B and G is \(5\sqrt{2}\) units. What is the volume of the cube, in cubic units?

I got the answer 500 using the pythagorean theorem and 30-60-90 triangles. 

2. The sides of the base of a triangular pyramid are 3, 4 and 5 feet and the altitude is 6 feet. What is the number of cubic feet in the volume of the pyramid? 

I got the answer 36 using the base and height. 

If you could help that would be great

thx in advance

 Jul 5, 2020
 #1
avatar+26007 
+1

it is a cube so the sides are the same length....

s^2 + s^2 = diagonal ^2

2 s ^2 = (5 sqrt2)^2

s^2 = 25

s = side length = 5         volume would   be    5 x 5 x 5 = 125 units3

 

 

1/3 base x height = pyramid volume   

     base is a 3-4-5 right triangle    area = 1/2 * 3 * 4  = 6

 

 1/3 (6) (6) = 12 ft3          cheeky

 Jul 5, 2020
 #2
avatar
0

wow thx a lot! I guess i had it in my mind that it had to be a 30-60-90 triangle... THANK YOU SO MUCH!!!

Guest Jul 5, 2020
 #3
avatar+26007 
0

You are welcome !  cheeky

ElectricPavlov  Jul 5, 2020

13 Online Users

avatar
avatar