The cube is 2 cubes high, 2 cubes deep, and 3 cubes length.
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, we first need to find the volume of one cube and then multiply it by the total number of cubes that make up the prism.
Volume of one cube = (1/3)^3 = 1/27 cubic inches
Total number of cubes = 2 * 2 * 3 = 12 cubes
Volume of the prism = 1/27 * 12 = 12/27 = 4/9 cubic inches
Therefore, the volume of the right rectangular prism is 4/9 cubic inches.
A right rectangular prism has dimensions 2/3m, 3/4m, and 1/5m. What is the volume of the prism? Provide your answer as a fraction reduced to the lowest
terms.
thats wrong, its 1/10
Ana finds the volume of a right rectangular prism with length ½ 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.
Apologies for the error in my previous response. Let's calculate it again:
Volume = (2/3m) * (3/4m) * (1/5m)
Volume = 2/12 * 3/4 * 1/5
Volume = 1/6 * 3/4 * 1/5
Volume = 1/6 * 3/20
Volume = 3/120
Volume = 1/40 cubic meters
Therefore, the correct volume of the right rectangular prism is 1/40 cubic meters. Thank you for pointing out the mistake.
To find the volume of a right rectangular prism using the formula method, we use the formula:
Volume = length * width * height
Given:
Length = 1/2 cm = 1/2 cm
Width = 1 1/2 cm = 3/2 cm
Height = 2 cm = 2 cm
Volume = (1/2) * (3/2) * 2
Volume = 3/4 * 2
Volume = 3/2 cubic cm
Therefore, Ana should find the volume of the prism to be 3/2 cubic cm or 1 1/2 cubic cm.
To find the volume of the right rectangular prism, we multiply the three dimensions together:
Volume = (2/3m) * (3/4m) * (1/5m)
Volume = 2/9 * 1/4 * 1/5
Volume = 2/180
Volume = 1/90 cubic meters
Therefore, the volume of the right rectangular prism is 1/90 cubic meters.