To find the volume of a rectangular prism, you need to multiply the length, width, and height of the shape.
Given:
Length = 1 1/3 = 4/3
Width = 1
Height = 2/3
Volume = Length x Width x Height
Volume = (4/3) x 1 x (2/3)
Volume = 8/9
Therefore, the volume of the rectangle is 8/9 cubic units.
so you have a rectangle that have the length if 1 1/3 the width of 1 and the height is 2/3 find the volume of the rectangle
5 answers
Use the image to answer the question.
An illustration shows a 3 D rectangular cuboid with length of 1 start fraction 1 over 3 end fraction, a width of 1, and a height of start fraction 2 over 3 end fraction. The sides at the back that are not visible are shown as dashed lines.
You find the volume of the right rectangular prism using the formula method and want to check your answer using the cube method. What is the edge length of the cubes you will use? Lengths are given in inches. Provide your answer as a fraction reduced to the lowest terms.
(1 point)
inches
An illustration shows a 3 D rectangular cuboid with length of 1 start fraction 1 over 3 end fraction, a width of 1, and a height of start fraction 2 over 3 end fraction. The sides at the back that are not visible are shown as dashed lines.
You find the volume of the right rectangular prism using the formula method and want to check your answer using the cube method. What is the edge length of the cubes you will use? Lengths are given in inches. Provide your answer as a fraction reduced to the lowest terms.
(1 point)
inches
To check the volume of the rectangular prism by using the cube method, we want to fill the rectangular prism with smaller cubes. Each of these smaller cubes would have edge length that would fill the rectangular prism completely without any overlap.
The edge length of each cube would be the greatest common divisor (GCD) of the lengths of the prism, which in this case are 1 1/3, 1, and 2/3 inches.
1 1/3 = 4/3
So, the lengths in fractions are 4/3, 1, and 2/3 inches.
Calculating the GCD of these fractions:
4/3, 1, 2/3
The GCD of 4/3, 1, and 2/3 is 1/3 inches.
Therefore, the edge length of the cubes you will use to check the volume is 1/3 inches.
The edge length of each cube would be the greatest common divisor (GCD) of the lengths of the prism, which in this case are 1 1/3, 1, and 2/3 inches.
1 1/3 = 4/3
So, the lengths in fractions are 4/3, 1, and 2/3 inches.
Calculating the GCD of these fractions:
4/3, 1, 2/3
The GCD of 4/3, 1, and 2/3 is 1/3 inches.
Therefore, the edge length of the cubes you will use to check the volume is 1/3 inches.
Use the image to answer the question.
An illustration shows a rectangular prism made of cubes placed as 3 columns, 2 cubes high and 2 cubes deep.
A right rectangular prism is made up of 12 cubes that are 12 -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.
(1 point)
cubic inches
An illustration shows a rectangular prism made of cubes placed as 3 columns, 2 cubes high and 2 cubes deep.
A right rectangular prism is made up of 12 cubes that are 12 -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.
(1 point)
cubic inches
To find the volume of the rectangular prism made up of 12 cubes, each with a side length of 1/2 inch, you can use the cube method by counting the number of cubes.
Given that there are 12 cubes, and each cube has a side length of 1/2 inch:
Volume = Number of cubes × (Side length of cube)^3
Volume = 12 × (1/2)^3
Volume = 12 × (1/8)
Volume = 12/8
Volume = 3/2
Therefore, the volume of the right rectangular prism made up of 12 cubes, each with a side length of 1/2 inch, is 3/2 cubic inches.
Given that there are 12 cubes, and each cube has a side length of 1/2 inch:
Volume = Number of cubes × (Side length of cube)^3
Volume = 12 × (1/2)^3
Volume = 12 × (1/8)
Volume = 12/8
Volume = 3/2
Therefore, the volume of the right rectangular prism made up of 12 cubes, each with a side length of 1/2 inch, is 3/2 cubic inches.