MATH SOLVE

2 months ago

Q:
# A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction unit. How many \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?

Accepted Solution

A:

the correct question is

A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many cubes does it take to fill the prism?

we know that

[volume of the cube]=b³

b=1/4 unit

[volume of the cube]=(1/4)³------> 1/64 unit³

if 1 cube has a volume of ----------------> (1/64) unit³

x cubes--------------------------------> 2 unit³

x=2/(1/64)-----> x=2*64----> x=128 cubes

the answer is

128 cubes

A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many cubes does it take to fill the prism?

we know that

[volume of the cube]=b³

b=1/4 unit

[volume of the cube]=(1/4)³------> 1/64 unit³

if 1 cube has a volume of ----------------> (1/64) unit³

x cubes--------------------------------> 2 unit³

x=2/(1/64)-----> x=2*64----> x=128 cubes

the answer is

128 cubes