Both of the models are made up of 1‐centimeter cubes.
Which statement about these models is true?
Model A has a length of 6 cubes, height of 2 cubes and width of 4 cubes. Model B has a length of 5 cubes, height of 4 cubes and width of 2 cubes.
A.
Model A and Model B have the same volume.
B.
The volume of Model A is less than the volume of Model B.
C.
The volume of Model A is 6 cubic centimeters greater than the volume of Model B.
D.
The volume of Model A and Model B combined is 88 cubic centimeters.
The correct answer is B.
To find the volume of each model, we need to multiply the length, height, and width.
For Model A:
Volume = 6 cm x 2 cm x 4 cm = 48 cubic centimeters.
For Model B:
Volume = 5 cm x 4 cm x 2 cm = 40 cubic centimeters.
Since Model A has a larger length and width, its volume is greater than that of Model B.
b
Correct, well done!
To determine the volumes of Model A and Model B, we need to calculate the number of cubes in each model.
Model A:
Length = 6 cubes
Height = 2 cubes
Width = 4 cubes
To find the volume, we multiply the length, height, and width:
Volume of Model A = 6 cubes * 2 cubes * 4 cubes = 48 cubic cubes.
Model B:
Length = 5 cubes
Height = 4 cubes
Width = 2 cubes
Again, we multiply the length, height, and width to find the volume:
Volume of Model B = 5 cubes * 4 cubes * 2 cubes = 40 cubic cubes.
Now that we have the volumes, we can analyze the statements:
A. Model A and Model B have the same volume.
False. Model A has a volume of 48 cubic cubes, while Model B has a volume of 40 cubic cubes, so they do not have the same volume.
B. The volume of Model A is less than the volume of Model B.
False. Model A has a larger volume (48 cubic cubes) than Model B (40 cubic cubes), so the volume of Model A is not less than Model B.
C. The volume of Model A is 6 cubic centimeters greater than the volume of Model B.
False. The difference in volume between Model A and Model B is 8 cubic cubes (48 cubic cubes - 40 cubic cubes), not 6 cubic centimeters.
D. The volume of Model A and Model B combined is 88 cubic centimeters.
Unknown. We haven't been given the individual volumes of Model A and Model B, only their dimensions in cubic cubes. So we cannot determine the combined volume in cubic centimeters.
Therefore, the correct answer is B. The volume of Model A is less than the volume of Model B.