Question

A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.

Answer 1

Answer:

2.5 is the answer

Step-by-step explanation:

I go to k12

Answer 2

$2\frac{1}{2}$  or 2.5 cubes are needed to fill the rectangular prism

Solution:

A rectangular prism has:

Length = 8 inches

width = 4 inches

height = 214 inches

Find the volume of rectangular prism

$volume = length \times width \times height$

$volume = 8 \times 4 \times 214\\\\volume = 6848\ in^3$

Find the volume of cube:

$volume = a^3$

Where, "a" is the length of side of cube

a = 14 inches

$volume = 14^3\\\\volume = 2744\ in^3$

How many cubes are needed to fill the rectangular prism?

$\text{ number of cubes } = \frac{\text{ volume of rectangular prism }}{\text{ volume of cube }}$

$\text{ number of cubes } = \frac{6848}{2744} = 2.49 \approx 2.5$

Thus, $2\frac{1}{2}$ cubes are needed to fill the rectangular prism