Find the volume of the right rectangular prism using the cube method Each cube is 1/3 inch on each side. What is the volume of the rectangular prism? Provide your answer as a fraction reduced to the lowest term
First, we need to determine how many cubes can fit in each dimension of the rectangular prism. Let's label the dimensions of the rectangular prism as length (L), width (W), and height (H).
For the length dimension, we need to divide L by 1/3:
L ÷ 1/3 = L x 3
Similarly, for the width dimension, we need to divide W by 1/3:
W ÷ 1/3 = W x 3
And for the height dimension, we need to divide H by 1/3:
H ÷ 1/3 = H x 3
Now we can multiply these three dimensions together to find the volume of the rectangular prism:
V = L x W x H x (3 x 3 x 3)
Simplifying this expression, we get:
V = LWH x 27
Therefore, the volume of the rectangular prism using the cube method is LWH/3, which is equivalent to LWH divided by 27/3 = 9.
Answer: V = LWH/9 (volume of the rectangular prism using the cube method, with each cube being 1/3 inch on each side).