Answered

If the volume for 3-D polyhedra A is 200 cm3 and the volume for 3-D polyhedral B is 800 cm3, how many times bigger is the volume of pyramid B than pyramid A?

A0.4%
B4%
C40%
D400%

Verified Answer :

RedRicin

We're literally just comparing 200 to 800 here.
800 is 4× bigger than 200, of course.
To put that in a percent...
Well, 1 = 100%. (it's a whole)
So 4 = 400%

Answer:  The correct option is (D). 400%.

Step-by-step explanation: Given that the volume for a 3-D polyhedral A is 200 cm³ and the volume for a 3-D polyhedral B is 800 cm³.

We are to find how much bigger is the volume of pyramid B than pyramid A.

The required percentage by which the volume of pyramid B is bigger than pyramid A is given by

\(P=\dfrac{\textup{volume of pyramid B}}{\textup{volume of pyramid A}}\times 100\%\\\\\\\Rightarrow P=\dfrac{800}{200}\times 100\%=4\times 100\%=400\%.\)

Thus, the correct option is (D).