The edge length of cube A is two times the edge length of cube B. How many times greater isthe volume of the cube A than the vol

Question

2 years ago

11

ume of cube B?

1 answer:

allsm [11] · Answer 1 · 2022-08-30T19:31:35+03:00

Answer:

<h2>8 times greater</h2>

Step-by-step explanation:

The formula of a volume of a cube:

$V=a^3$

a - edge length

-----------------------------------

The edge length of cube B is a.

The edge length of cube A is 2a.

Calculate the volumes:

$V_A=(2a)^3=2^3a^3=8a^3\\\\V_B=a^3$

How many times greater is the volume of the cube A than the volume of cube B?

Make the quotient:

$\dfrac{V_A}{V_B}=\dfrac{8a^3}{a^3}=8$