Question

(HELP ME PLEASE!!!!!! IT HAS PICTURES!!!!!)The edge of each cube used to build this rectangular prism is 1/3 inch long. Which equation shows the volume of the prism, in cubic inches?
|A|(9/3⋅6/3⋅6/3) in.^3 = 12 in.^3

|B|(3/3⋅2/3⋅3/3) in.^3 = 2/3 in^.3

|C|(3 1/3⋅2 1/3⋅3 1/3) in.^3=25 25/27 in.^3

|D|(3⋅2⋅3) in.^3=18 in.^3

Answer 1

Answer:

Option B

Step-by-step explanation:

step 1

Find the number of cubes in the prism

$(3)(2)(3)=18\ cubes$

step 2

Find the volume of one cube

The volume of one cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$b=\frac{1}{3}\ in$

substitute

$V=(\frac{1}{3})^3$

$V=\frac{1}{27}\ in^3$

step 3

To find out the volume of the prism , multiply the volume of one cube by the number of cubes

so

$V=(\frac{1}{27})18$

$V=\frac{18}{27}\ in^3$

simplify

$V=\frac{2}{3}\ in^3$