Answer:
3
Step-by-step explanation:
Each of the lines lengths multiply by 3.
Answer:
x=2
Step-by-step explanation:
Perimeter of a square = 4*(side of the square)
28 = 4*(3x+1)
28 = 12x + 4
28- 4 = 12x
24 = 12x
x =2
Answer:
B. The area of the base of the pyramid, B, is 24 centimeters squared.
C. A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times volume of this pyramid.
Step-by-step explanation:
Given a rectangular pyramid with:
Height=9 cm
Base Dimensions = 4 centimeters by 6 centimeters
Base Area B=4 X 6 =24 Square cm.
Therefore, Option B (The area of the base of the pyramid, B, is 24 centimeters squared) is correct.
Volume of a pyramid = 

Volume of a Prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters
=Base Area X Height
=24 X 9

Now, 216/72=3
Therefore, A rectangular prism with the same dimensions will have 3 times volume of this pyramid
Therefore, <u>Option C is correct.</u>
Answer:
5:6
Step-by-step explanation:
To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.
![\sqrt[3]{\frac{125}{216} } =\frac{5}{6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B216%7D%20%7D%20%3D%5Cfrac%7B5%7D%7B6%7D)
5 : 6