Ana finds the volume of a right rectangular prism with length 1/2 cm, width 1 1/2 cm, and height 2 cm using the cube method. Find the volume of the prism using the formula method. What answer should Ana get? Provide your answer as an improper fraction reduced to the lowest terms.
Cube method:
First, we multiply the three dimensions together: 1/2 * 3/2 * 2 = 3/4 cm^3
Formula method:
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
Plugging in the values we have: V = (1/2) * (3/2) * 2 = 3/4 cm^3
Therefore, Ana should get a volume of 3/4 cm^3 for the right rectangular prism using both the cube and formula methods.
A right rectangular prism has dimensions 2/3 m, 3/4 m, and 1/5 m. What is the volume of the prism? Provide your answer as a fraction reduced to the lowest terms.
To find the volume of the right rectangular prism, we use the formula V = lwh, where l is the length, w is the width, and h is the height.
Given:
Length, l = 2/3 m
Width, w = 3/4 m
Height, h = 1/5 m
Volume, V = (2/3) * (3/4) * (1/5)
V = 6/12 * 1/5
V = 6/60
V = 1/10
Therefore, the volume of the prism is 1/10 cubic meters.
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 prism? Provide your answer as a fraction reduced to the lowest terms.
To find the volume of the right rectangular prism using the cube method, we will find the total number of cubes that fit inside the prism.
Given:
Each cube is 1/3 inch on each side.
The dimensions of the prism:
Length = l = 3 * (1/3) = 1 inch
Width = w = 4 * (1/3) = 4/3 inches
Height = h = 2 * (1/3) = 2/3 inches
Now, to find the volume, we multiply the dimensions:
V = l * w * h
V = 1 * 4/3 * 2/3
V = 8/9
Therefore, the volume of the right rectangular prism using the cube method is 8/9 cubic inches.
A right rectangular prism is made up of 12 cubes that are 1/2 -inch on each side. Use the cube method or the formula method to find the volume. Provide your answer as an improper fraction reduced to the lowest terms.
Given that the right rectangular prism is made up of 12 cubes that are each 1/2 inch on each side, we can determine the dimensions of the prism from the number of cubes.
Since there are 12 cubes and each cube is 1/2 inch on each side, there are 6 cubes along the length, 2 cubes along the width, and 1 cube along the height.
Therefore, the dimensions of the prism are:
Length (l) = 6 * 1/2 = 3 inches
Width (w) = 2 * 1/2 = 1 inch
Height (h) = 1 * 1/2 = 1/2 inch
Using the formula method:
Volume of a right rectangular prism, V = lwh
V = 3 * 1 * 1/2
V = 3/2
Therefore, the volume of the prism is 3/2 cubic inches.