Question

HELP QUICK! WILL GIVE BRAINLIEST!!!

Answer 1

Answer:

800

Step-by-step explanation:

Let's calculate how many times the edge of the cube fits on the edge of the prism:

$1\dfrac{3}{5}:\dfrac{1}{5}=\dfrac{(1)(5)+3}{5\!\!\!\!\diagup}\cdot\dfrac{5\!\!\!\!\diagup}{1}=5+3=8\\\\\dfrac{4}{5}:\dfrac{1}{5}=\dfrac{4}{5\!\!\!\!\diagup}\cdot\dfrac{5\!\!\!\!\diagup}{1}=4\\\\5:\dfrac{1}{5}=5\cdot\dfrac{5}{1}=5\cdot5=25$

Therefore we have new unit and new dimensions of the prism:

$25\times4\times8$

Calculate the volume of a prism using the formula:

$V=l\times w\times h$

Substitute:

$l=25,\ w=4,\ h=8$

$V=(25)(4)(8)=800$

Answer 2

Find the volume of each and divide:

Volume of rectangle: 5 x 4/5 x 1 3/5 = 6 2/5

Volume of cube: 1/5^3 = 1/125

6 2/5 / 1/125 = 800