What is the volume of the composite figure?
1. Volume of prism 1
V = Bh
V = (5cm)(7cm)(8cm)
2. Volume of prism 2
V = Bh
V = (10cm)(7cm)(4cm)
3. Total volume =
cm3
Why did you just guess?
And 650 is wrong, if you want to add the two volumes together.
is my guess 650 right or wrong
To find the total volume of the composite figure, we need to calculate the volume of each prism individually and then add them together.
1. First, let's calculate the volume of prism 1:
- The formula for the volume of a prism is V = Bh, where B is the base area and h is the height.
- We are given the dimensions of prism 1 as 5cm x 7cm x 8cm.
- Plug these values into the formula: V = (5cm)(7cm)(8cm).
- Multiply the numbers: V = 280 cm³.
2. Next, let's calculate the volume of prism 2:
- Using the same formula, V = Bh, and the given dimensions of prism 2 as 10cm x 7cm x 4cm.
- Plug these values into the formula: V = (10cm)(7cm)(4cm).
- Multiply the numbers: V = 280 cm³.
3. Finally, to find the total volume of the composite figure, we add the volumes of the two prisms together:
- Total Volume = Volume of prism 1 + Volume of prism 2
- Total Volume = 280 cm³ + 280 cm³
- Total Volume = 560 cm³.
Therefore, the total volume of the composite figure is 560 cm³.