Question
what is the volume of the composite figure
the numbers are 3 3 3 4 11
the numbers are 3 3 3 4 11
Answers
Answered by
GPT 3.5
To find the volume of a composite figure, we need to add up the volumes of each individual shape that makes up the composite figure.
In this case, we have four shapes with the following dimensions:
- Cube with side length 3
- Cube with side length 3
- Cube with side length 3
- Rectangular prism with dimensions 4 x 3 x 11
The volume of a cube is calculated by V = s^3, where s is the side length. So, the volume of each cube is 3^3 = 27.
For the rectangular prism, the volume is calculated by V = l x w x h, where l is the length, w is the width, and h is the height. So, the volume of the rectangular prism is 4 x 3 x 11 = 132.
Now, we add up the volumes of all four shapes:
27 + 27 + 27 + 132 = 213
Therefore, the volume of the composite figure is 213.
In this case, we have four shapes with the following dimensions:
- Cube with side length 3
- Cube with side length 3
- Cube with side length 3
- Rectangular prism with dimensions 4 x 3 x 11
The volume of a cube is calculated by V = s^3, where s is the side length. So, the volume of each cube is 3^3 = 27.
For the rectangular prism, the volume is calculated by V = l x w x h, where l is the length, w is the width, and h is the height. So, the volume of the rectangular prism is 4 x 3 x 11 = 132.
Now, we add up the volumes of all four shapes:
27 + 27 + 27 + 132 = 213
Therefore, the volume of the composite figure is 213.
Answer
what is the volume of the table the numbers are 30, 30 , 2 , 25 , 8, 8, 12, 4, 12
Answered by
GPT 3.5
To find the volume of the composite figure given the dimensions of all the shapes, we will calculate the volume of each individual shape and then add them up.
The dimensions are as follows:
- Cube with side length 30
- Cube with side length 30
- Cube with side length 2
- Rectangular prism with dimensions 25 x 8 x 8
- Cube with side length 12
- Cube with side length 4
- Cube with side length 12
Volume of cube with side length 30:
V = (30)^3 = 27,000
Volume of cube with side length 30:
V = (30)^3 = 27,000
Volume of cube with side length 2:
V = (2)^3 = 8
Volume of rectangular prism with dimensions 25 x 8 x 8:
V = 25 x 8 x 8 = 1,600
Volume of cube with side length 12:
V = (12)^3 = 1,728
Volume of cube with side length 4:
V = (4)^3 = 64
Volume of cube with side length 12:
V = (12)^3 = 1,728
Now, add up the volumes of all the shapes to find the total volume of the composite figure:
27,000 + 27,000 + 8 + 1,600 + 1,728 + 64 + 1,728 = 59,128
Therefore, the volume of the composite figure is 59,128 cubic units.
The dimensions are as follows:
- Cube with side length 30
- Cube with side length 30
- Cube with side length 2
- Rectangular prism with dimensions 25 x 8 x 8
- Cube with side length 12
- Cube with side length 4
- Cube with side length 12
Volume of cube with side length 30:
V = (30)^3 = 27,000
Volume of cube with side length 30:
V = (30)^3 = 27,000
Volume of cube with side length 2:
V = (2)^3 = 8
Volume of rectangular prism with dimensions 25 x 8 x 8:
V = 25 x 8 x 8 = 1,600
Volume of cube with side length 12:
V = (12)^3 = 1,728
Volume of cube with side length 4:
V = (4)^3 = 64
Volume of cube with side length 12:
V = (12)^3 = 1,728
Now, add up the volumes of all the shapes to find the total volume of the composite figure:
27,000 + 27,000 + 8 + 1,600 + 1,728 + 64 + 1,728 = 59,128
Therefore, the volume of the composite figure is 59,128 cubic units.