Question
Question 2 of 3
Sylvie made the solid figures shown using unit cubes.
Which statement about these models is true?
Model A has length as 6 unit cubes, height as 2 unit cubes and width as 3 unit cubes. Model B has length as 10 unit cubes, height as 2 unit cubes and width as 2 unit cubes.
A.
The volume of Model A is 10 cubic units less than the volume of Model B.
B.
The volume of Model B is 4 cubic units greater than the volume of Model A.
C.
The volume of Model A and Model B combined is 54 cubic units.
D.
Model A and Model B have the same volume.
Sylvie made the solid figures shown using unit cubes.
Which statement about these models is true?
Model A has length as 6 unit cubes, height as 2 unit cubes and width as 3 unit cubes. Model B has length as 10 unit cubes, height as 2 unit cubes and width as 2 unit cubes.
A.
The volume of Model A is 10 cubic units less than the volume of Model B.
B.
The volume of Model B is 4 cubic units greater than the volume of Model A.
C.
The volume of Model A and Model B combined is 54 cubic units.
D.
Model A and Model B have the same volume.
Answers
The answer is D. Model A and Model B have the same volume.
To find the volume of a rectangular prism, you multiply its length, width, and height.
For Model A, length x width x height = 6 x 3 x 2 = 36 cubic units.
For Model B, length x width x height = 10 x 2 x 2 = 40 cubic units.
Therefore, Model A and Model B have different volumes, and A is not 10 cubic units less or B is not 4 cubic units greater. The only option that is true is that they have the same volume, which is the answer D.
To find the volume of a rectangular prism, you multiply its length, width, and height.
For Model A, length x width x height = 6 x 3 x 2 = 36 cubic units.
For Model B, length x width x height = 10 x 2 x 2 = 40 cubic units.
Therefore, Model A and Model B have different volumes, and A is not 10 cubic units less or B is not 4 cubic units greater. The only option that is true is that they have the same volume, which is the answer D.
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