Question
What is the volume of the composite figure shown below?
*4ft 10ft 16t 2ft 4ft
20 points
Captionless Image
320 cubic ft
286 cubic ft
214 cubic ft
176 cubic ft
What is the volume of the composite figure shown below?
*3m 3m 8m 6m 8m
20 points
Captionless Image
218 cubic m
234 cubic m
262 cubic m
296 cubic m
What is the volume of the composite figure shown below?
*2in 3in 3in 3in 10in
20 points
Captionless Image
64 cubic in
78 cubic in
112 cubic in
140 cubic in
What is the volume of the composite figure shown below?
*1in 2in 5in 10in 8in
20 points
Captionless Image
160 cubic in
188 cubic in
214 cubic in
236 cubic in
What is the volume of the composite figure shown below?
*10cm 2cm 7cm 6cm 5cm
20 points
Captionless Image
144 cubic cm
158 cubic cm
160 cubic cm
172 cubic cm
*4ft 10ft 16t 2ft 4ft
20 points
Captionless Image
320 cubic ft
286 cubic ft
214 cubic ft
176 cubic ft
What is the volume of the composite figure shown below?
*3m 3m 8m 6m 8m
20 points
Captionless Image
218 cubic m
234 cubic m
262 cubic m
296 cubic m
What is the volume of the composite figure shown below?
*2in 3in 3in 3in 10in
20 points
Captionless Image
64 cubic in
78 cubic in
112 cubic in
140 cubic in
What is the volume of the composite figure shown below?
*1in 2in 5in 10in 8in
20 points
Captionless Image
160 cubic in
188 cubic in
214 cubic in
236 cubic in
What is the volume of the composite figure shown below?
*10cm 2cm 7cm 6cm 5cm
20 points
Captionless Image
144 cubic cm
158 cubic cm
160 cubic cm
172 cubic cm
Answers
GPT-4o mini
To find the volume of composite figures, we typically break them down into simpler shapes (like rectangular prisms, cylinders, etc.), calculate the volume of each shape individually, and then add or subtract those volumes as necessary.
However, since there are no images provided, I can guide you through the calculations based on typical configurations for these dimensions.
### 1. Volume Calculation: Dimensions 4ft, 10ft, 16ft, 2ft, 4ft
Let’s consider a possible configuration of these dimensions. Without the visual, it's hard to say exactly how to interpret them.
A common interpretation could be a rectangular prism with dimensions:
- Height: 4 ft
- Width: 2 ft
- Length: 10 ft,
And another section could be:
- Height: 4 ft
- Width: 16 ft
- Length: 2 ft.
#### Volume calculations:
- For the first rectangular prism:
\(V_1 = length \times width \times height = 10 ft \times 2 ft \times 4 ft = 80\) cubic feet.
- For the second section:
\(V_2 = 16 ft \times 2 ft \times 4 ft = 128\) cubic feet.
**Total Volume: \(V_{\text{total}} = 80 + 128 = 208\) cubic ft.**
*(However, this may not match with the options provided)*.
### 2. Volume Calculation: Dimensions 3m, 3m, 8m, 6m, 8m
Assuming we have two sections:
- For a first rectangular prism with dimensions of 3m, 3m, 8m:
\(V_1 = 3m \times 3m \times 8m = 72\) cubic meters.
- For a second part with dimensions 6m x 8m:
\(V_2 = 6m \times 8m = 48\) cubic meters.
**Total Volume: \(V_{\text{total}} = 72 + 48 = 120\) cubic m.**
### 3. Volume Calculation: Dimensions 2in, 3in, 3in, 3in, 10in
Assuming a rectangular prism setup:
- \(V = length \times width \times height = 2in \times 3in \times 10in = 60\) cubic inches.
### 4. Volume Calculation: Dimensions 1in, 2in, 5in, 10in, 8in
Assuming two rectangular prisms:
- First: \(V1 = 1in \times 2in \times 10in = 20\) cubic inches.
- Second: Assumed simple addition of other sides.
### 5. Volume Calculation: Dimensions 10cm, 2cm, 7cm, 6cm, 5cm
Assuming 2 rectangular shapes:
- Volume of first: \(V1 = 10cm \times 2cm \times 7cm = 140\) cubic cm.
- For other required sections: They may overlap or add directly.
### Final Outputs
For the options you provided:
Please check the images and confirm the arrangement that leads to a valid volume. The calculated figures can be validated against those given.
If you provide the configuration details, I can recalculate the combined volumes for accuracy!
However, since there are no images provided, I can guide you through the calculations based on typical configurations for these dimensions.
### 1. Volume Calculation: Dimensions 4ft, 10ft, 16ft, 2ft, 4ft
Let’s consider a possible configuration of these dimensions. Without the visual, it's hard to say exactly how to interpret them.
A common interpretation could be a rectangular prism with dimensions:
- Height: 4 ft
- Width: 2 ft
- Length: 10 ft,
And another section could be:
- Height: 4 ft
- Width: 16 ft
- Length: 2 ft.
#### Volume calculations:
- For the first rectangular prism:
\(V_1 = length \times width \times height = 10 ft \times 2 ft \times 4 ft = 80\) cubic feet.
- For the second section:
\(V_2 = 16 ft \times 2 ft \times 4 ft = 128\) cubic feet.
**Total Volume: \(V_{\text{total}} = 80 + 128 = 208\) cubic ft.**
*(However, this may not match with the options provided)*.
### 2. Volume Calculation: Dimensions 3m, 3m, 8m, 6m, 8m
Assuming we have two sections:
- For a first rectangular prism with dimensions of 3m, 3m, 8m:
\(V_1 = 3m \times 3m \times 8m = 72\) cubic meters.
- For a second part with dimensions 6m x 8m:
\(V_2 = 6m \times 8m = 48\) cubic meters.
**Total Volume: \(V_{\text{total}} = 72 + 48 = 120\) cubic m.**
### 3. Volume Calculation: Dimensions 2in, 3in, 3in, 3in, 10in
Assuming a rectangular prism setup:
- \(V = length \times width \times height = 2in \times 3in \times 10in = 60\) cubic inches.
### 4. Volume Calculation: Dimensions 1in, 2in, 5in, 10in, 8in
Assuming two rectangular prisms:
- First: \(V1 = 1in \times 2in \times 10in = 20\) cubic inches.
- Second: Assumed simple addition of other sides.
### 5. Volume Calculation: Dimensions 10cm, 2cm, 7cm, 6cm, 5cm
Assuming 2 rectangular shapes:
- Volume of first: \(V1 = 10cm \times 2cm \times 7cm = 140\) cubic cm.
- For other required sections: They may overlap or add directly.
### Final Outputs
For the options you provided:
Please check the images and confirm the arrangement that leads to a valid volume. The calculated figures can be validated against those given.
If you provide the configuration details, I can recalculate the combined volumes for accuracy!