Question

Cube A and cube B are similar solids. The volume of cube A is 27 cubic inches, and the volume of cube Bis 125 cubic inches. How many times

larger is the base area of cube B than the base area of cube A?
Cube B
B
Cube A
N
M
H
R
Q
P
E
F
O A 25
B.
oc. 125
OD. 10

Answer 1

C 125/27

Explanation:

its the only one that makes sense cause we're trying to find out how much bigger cube B is to cube A and if we simplify it is 4.6x bigger

Answer 2

The base area of cube B is 25/9 times larger than the base area of cube A

How many times larger is the base area of cube B than the base area of cube A?

From the question, we have the following parameters that can be used in our computation:

Volume A = 27 cubic inches

Volume B = 125 cubic inches

Using the above as a guide, we have the following:

Side length A = 3 inches

Side length B = 5 inches

So, we have the areas to be

Area A = 3 inches * 3 inches = 9 square inches

Area B = 5 inches * 5 inches = 25 square inches

So, we have

The number of times, n is

n = 25/9

Hence, the base area of cube B is 25/9 times larger than the base area of cube A