The figure with a volume of 48 cubic units is the rectangular prism with length of 6 feet, width of 2 feet, and height of 4 feet.
The figures that do not have a volume of 48 cubic units are:
1. The rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet (Volume = 8 x 2 x 3 = 48 cubic units)
3. The rectangular prism with length of 4 feet, width of 4 feet, and height of 4 feet (Volume = 4 x 4 x 4 = 64 cubic units)
4. The rectangular prism with length of 11 feet, width of 2 feet, and height of 2 feet (Volume = 11 x 2 x 2 = 44 cubic units)
Each cube in the figures below is one cubic unit.
Which figure does not have a volume of 48 cubic units? Select all that apply.
(1 point)
Responses
Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet.
Image with alt text: Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet.
Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet.
Image with alt text: Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet.
Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet.
Image with alt text: Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet.
Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.
Image with alt text: Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.
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5 answers
are you sure because the number 1 has 48 cubic units on it
Apologies for the confusion. You are correct.
The figure that does not have a volume of 48 cubic units is the rectangular prism with a length of 11 feet, width of 2 feet, and height of 2 feet (Volume = 11 x 2 x 2 = 44 cubic units).
However, figures 1, 2, and 3 all have volumes of 48 cubic units. Thank you for bringing that to my attention.
The figure that does not have a volume of 48 cubic units is the rectangular prism with a length of 11 feet, width of 2 feet, and height of 2 feet (Volume = 11 x 2 x 2 = 44 cubic units).
However, figures 1, 2, and 3 all have volumes of 48 cubic units. Thank you for bringing that to my attention.
A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What could be the dimensions of the container if one dimension is 3 feet and all dimensions are whole units? Select all that apply.
(1 point)
Responses
3 feet by 4 feet by 5 feet
3 feet by 4 feet by 5 feet
3 feet by 3 feet by 5 feet
3 feet by 3 feet by 5 feet
3 feet by 5 feet by 6 feet
3 feet by 5 feet by 6 feet
3 feet by 2 feet by 10 feet
3 feet by 2 feet by 10 feet
3 feet by 2 feet by 15 feet
(1 point)
Responses
3 feet by 4 feet by 5 feet
3 feet by 4 feet by 5 feet
3 feet by 3 feet by 5 feet
3 feet by 3 feet by 5 feet
3 feet by 5 feet by 6 feet
3 feet by 5 feet by 6 feet
3 feet by 2 feet by 10 feet
3 feet by 2 feet by 10 feet
3 feet by 2 feet by 15 feet
The volume of a rectangular prism is given by the formula: Volume = length x width x height
Given that the volume is 60 cubic feet and one dimension is 3 feet, we need to find two other dimensions that, when multiplied by 3, gives a total volume of 60 cubic feet.
Let's double-check:
1. 3 feet by 4 feet by 5 feet: Volume = 3 x 4 x 5 = 60 cubic feet (Correct)
2. 3 feet by 3 feet by 5 feet: Volume = 3 x 3 x 5 = 45 cubic feet (Incorrect)
3. 3 feet by 5 feet by 6 feet: Volume = 3 x 5 x 6 = 90 cubic feet (Incorrect)
4. 3 feet by 2 feet by 10 feet: Volume = 3 x 2 x 10 = 60 cubic feet (Correct)
5. 3 feet by 2 feet by 15 feet: Volume = 3 x 2 x 15 = 90 cubic feet (Incorrect)
Therefore, the possible dimensions of the container, with one dimension being 3 feet, are:
- 3 feet by 4 feet by 5 feet
- 3 feet by 2 feet by 10 feet
These are the correct dimensions that could result in a volume of 60 cubic feet given one dimension is 3 feet.
Given that the volume is 60 cubic feet and one dimension is 3 feet, we need to find two other dimensions that, when multiplied by 3, gives a total volume of 60 cubic feet.
Let's double-check:
1. 3 feet by 4 feet by 5 feet: Volume = 3 x 4 x 5 = 60 cubic feet (Correct)
2. 3 feet by 3 feet by 5 feet: Volume = 3 x 3 x 5 = 45 cubic feet (Incorrect)
3. 3 feet by 5 feet by 6 feet: Volume = 3 x 5 x 6 = 90 cubic feet (Incorrect)
4. 3 feet by 2 feet by 10 feet: Volume = 3 x 2 x 10 = 60 cubic feet (Correct)
5. 3 feet by 2 feet by 15 feet: Volume = 3 x 2 x 15 = 90 cubic feet (Incorrect)
Therefore, the possible dimensions of the container, with one dimension being 3 feet, are:
- 3 feet by 4 feet by 5 feet
- 3 feet by 2 feet by 10 feet
These are the correct dimensions that could result in a volume of 60 cubic feet given one dimension is 3 feet.
1 answer