Multiply the edge lengths of a right rectangular prism with length ½, width 1½, and height 3/4 to show that the product is the same as the volume you found by packing the prism with unit cubes with an edge length of - inch.
Cube method:
Number of cubes: 36
Volume of each cube: 1/4 x 1/4 x 1/4 = 1/64
Volume of the prism:
v = 36 x 1/64
= 36/64
= 9/16 cubic units
A. 1/2 x 3/2 x 3/4
B. 1/2 x 1/2 x 3/4
C. 1/2 x 3/2 x 3/2
D. 1/2 x 11/2 x 3/4
A. 1/2 x 3/2 x 3/4 = 9/16
Therefore, the correct answer is A.
Thanks.
What formula can be used to find the volume of a right rectangular prism with length 1/4, width 3/4, and height 1 3/4
A. 1/4 x 3/4 x 3/4
B. 1/4 x 3/4 x 7/4
C. 1/4 x 1/4 x 1/4
D. 1/4 x 3/4 x 13/4
To find the volume of a right rectangular prism, you can use the formula:
Volume = length x width x height
Given:
Length = 1/4
Width = 3/4
Height = 1 3/4 = 7/4
Using the formula:
Volume = 1/4 x 3/4 x 7/4
Therefore, the correct formula to find the volume of the prism is:
B. 1/4 x 3/4 x 7/4
One student multiplies the edge lengths of a right rectangular prism to get the a volume of 7/8 cubic units. What is one way to check that the volume is correct?
A. Multiply the edge length of one cube
B. Use the cube method to see if the volume is the same
C. Count the number if 1/8 inch cubes that will fit inside the prism
D. Use the formula method to see if the volume is the same
C. Count the number of 1/8 inch cubes that will fit inside the prism
To check the volume calculated by one student, one way is to count the number of 1/8 inch cubes that would fit inside the prism. If the number of cubes multiplied by the volume of each cube (1/8 x 1/8 x 1/8 = 1/512) is equal to the volume calculated (7/8), then the volume is likely correct.