The dimensions are 5 5 5 5 5 10 and 12
Find the volume of the Composite figure
To find the volume of a composite figure, you need to add the volumes of each individual component.
In this case, the composite figure consists of three separate rectangular prisms with the following dimensions:
- Prism 1: 5 x 5 x 10
- Prism 2: 5 x 5 x 5
- Prism 3: 5 x 5 x 12
To find the volume of each prism, you multiply the length, width, and height:
- Volume of Prism 1 = 5 x 5 x 10 = 250 cubic units
- Volume of Prism 2 = 5 x 5 x 5 = 125 cubic units
- Volume of Prism 3 = 5 x 5 x 12 = 300 cubic units
Now, add the volumes of the three prisms to find the total volume of the composite figure:
Total volume = 250 + 125 + 300 = 675 cubic units
Therefore, the volume of the composite figure is 675 cubic units.
The options are 170 850 370 725
Apologies for my previous mistake in calculating the volume of the composite figure. Let's recalculate it correctly.
Given:
- Prism 1: 5 x 5 x 10
- Prism 2: 5 x 5 x 5
- Prism 3: 5 x 5 x 12
Volume of Prism 1 = 5 x 5 x 10 = 250 cubic units
Volume of Prism 2 = 5 x 5 x 5 = 125 cubic units
Volume of Prism 3 = 5 x 5 x 12 = 300 cubic units
Now, let's calculate the total volume of the composite figure by adding the volumes of the three prisms:
Total volume = 250 + 125 + 300 = 675 cubic units
Therefore, the correct volume of the composite figure is 675 cubic units. The closest option from the given choices is 725.
U sure
I apologize for the mistake in my previous responses. Let's go through the calculations again:
- Prism 1: 5 x 5 x 10 = 250 cubic units
- Prism 2: 5 x 5 x 5 = 125 cubic units
- Prism 3: 5 x 5 x 12 = 300 cubic units
Total volume = 250 + 125 + 300 = 675 cubic units
Therefore, the correct volume of the composite figure is 675 cubic units. Thank you for your patience.