Answer:
The first question is incomplete.
--------------------------------------------------------------------------------------------
Question 2:
The volume of a cube is 512 cm³
512 cm³ = 8 cm x 8 cm x 8 cm or sides of 8 cm
8 cm³ = 2 cm x 2 cm x 2 cm or sides of 2 cm
So each side got multiplied by:
[tex]\frac{8}{2}=4[/tex] times.
Option A is the answer.
--------------------------------------------------------------------------------------
Question 3.
The scale factor can be derived by :
[tex]k^{3} =\frac{3456}{54}[/tex]
[tex]k^{3} =64[/tex]
[tex]k=\sqrt[3]{64}[/tex]
k = 4
Hence, the sides of a rectangular prism increased by 4.
Option C is the answer.
------------------------------------------------------------------------------------------
Question 4.
The original volume is given by = [tex]5*4*3=60[/tex] cubic feet
So, when the lengths are tripled, the overall volume is:
So, this can be shown as :
[tex](5*3)(4*3)(3*3)=1620[/tex] cubic feet
Option A is the answer.
--------------------------------------------------------------------------------------------
Question 5.
The given radius and height are 2 units and 5 units respectively.
Also given, the radius and height of the cylinder are multiplied by 3, so new radius ad height becomes: 6 units and 15 units respectively.
Now, volume of cylinder is given as :
V =[tex]\pi r^{2} h[/tex]
So, the answer will be = V =[tex]\pi* 6^{2}* 15[/tex]
= 540π cubic units
Option A is the answer.
--------------------------------------------------------------------------------------------------
