Compare Methods of Finding Volume Quick Check
1 of 51 of 5 Items
Question
Use the image to answer the question.
An illustration shows a 3 D rectangular cuboid segmented into multiple blocks. It shows two adjacent sets of a 3 row by 6 column grid. The width is start fraction 1 over 2 end fraction, the length is 1 start fraction one over 2 end fraction, and the height is start fraction 3 over 4 end fraction.
Multiply the edge lengths of a right rectangular prism with length 12 , width 112 , and height 34 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 14 inch.
Cube method:
Number of cubes: 36
Volume of each cube: 14×14×14=164
Volume of the prism:
v=36×164
=3664
=916 cubic units
(1 point)
Responses
12×112×34
Start Fraction 1 over 2 End Fraction times Start Fraction 11 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
12×32×34
Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
12×32×32
Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 2 End Fraction
12×12×34
Start Fraction 1 over 2 End Fraction times Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
The correct response is:
12×112×34
Start Fraction 1 over 2 End Fraction times Start Fraction 11 over 2 End Fraction times Start Fraction 3 over 4 End Fraction
What formula can be used to find the volume of a right rectangular prism with length 14 , width 34 , and height 134 ?(1 point)
Responses
14×34×74
Start Fraction 1 over 4 End Fraction times Start Fraction 3 over 4 End Fraction times Start Fraction 7 over 4 End Fraction
14×34×134
Start Fraction 1 over 4 End Fraction times Start Fraction 3 over 4 End Fraction times Start Fraction 13 over 4 End Fraction
14×34×34
Start Fraction 1 over 4 End Fraction times Start Fraction 3 over 4 End Fraction times Start Fraction 3 over 4 End Fraction
14×14×14
Start Fraction 1 over 4 End Fraction times Start Fraction 1 over 4 End Fraction times Start Fraction 1 over 4 End Fraction
The correct formula to find the volume of a right rectangular prism with length 14, width 34, and height 134 is:
14 x 34 x 134
Start Fraction 1 over 4 End Fraction times Start Fraction 3 over 4 End Fraction times Start Fraction 13 over 4 End Fraction
One student multiplies the edge lengths of a right rectangular prism to get the a volume of 78 cubic units. What is one way to check that the volume is correct?(1 point)
Responses
Use the cube method to see if the volume is the same.
Use the cube method to see if the volume is the same.
Use the formula method to see if the volume is the same.
Use the formula method to see if the volume is the same.
Count the number of 18-inch cubes that will fit inside the prism.
Count the number of Start Fraction 1 over 8 End Fraction -inch cubes that will fit inside the prism.
Multiply the edge length of one cube.
One way to check that the volume is correct is to use the cube method to see if the volume is the same. This involves finding the number of unit cubes that can fit inside the prism to verify the volume calculation.
Use the image to answer the question.
An illustration shows a 3 D rectangular cuboid segmented into 2 rows by 2 columns of blocks. The length is start fraction 2 over 5 end fraction, the width is start fraction 1 over 5 end fraction, and the height is start fraction 2 over 5 end fraction.
A right rectangular prism is made up of 4 cubes that are 15 inch on each side. Use the cube method or the formula method to find the volume. Reduce your answer to lowest terms.
(1 point)
Responses
45 cubic inches
Start Fraction 4 over 5 End Fraction cubic inches
4125 cubic inches
Start Fraction 4 over 125 End Fraction cubic inches
55=1 cubic inches
Start Fraction 5 over 5 End Fraction equals 1 cubic inches
425 cubic inches
To find the volume of the right rectangular prism made up of 4 cubes that are 15 inches on each side, we can use the cube method:
Number of cubes: 4
Volume of each cube: 15 x 15 x 15 = 3375 cubic inches
Volume of the prism:
4 x 3375 = 13500 cubic inches
Reducing the answer to lowest terms:
13500 ÷ 100 = 135
13500 ÷ 125 = 108
Therefore, the volume is 108 cubic inches.
The correct response is:
108 cubic inches
A right rectangular prism has length 13 m, width 14 m, and height 212 m. Use the formula method to find the volume of the prism. Reduce your answer to lowest terms.(1 point)
Responses
124 cubic meters
Start Fraction 1 over 24 End Fraction cubic meters
524 cubic meters
Start Fraction 5 over 24 End Fraction cubic meters
2124 cubic meters
Start Fraction 21 over 24 End Fraction cubic meters
724 cubic meters
To find the volume of the right rectangular prism with length 13 m, width 14 m, and height 21/2 m, we use the formula:
Volume = length x width x height
Volume = 13 x 14 x 21/2
Volume = 13 x 14 x 21/2
Volume = 182 x 21/2
Volume = 382/2
Volume = 76 cubic meters
Reducing the answer to lowest terms, we get 76 cubic meters.
Therefore, the correct response is:
76 cubic meters.