Question

Find the volume of this composite figure.



Volume of Right Prism or Cylinder = (area of base)(height) or V = Bh

(4 points)
Volume of the left cube =
cubic centimeters

Volume of the middle rectangular prism =
cubic centimeters

Volume of the right cube =
cubic centimeters

Volume of the entire composite figure =
cubic centimeters

Skip to navigation

Answer 1

To find the volume of the composite figure composed of two cubes and a rectangular prism, we need the dimensions for each shape. However, since you didn't provide specific measurements, I'll outline the steps to calculate the volume of each component:

### 1. Volume of the Left Cube:
The volume \( V \) of a cube is given by the formula:
\[
V = s^3
\]
where \( s \) is the length of a side of the cube.

**Example Calculation:**
- If the side length \( s = a \) cm, then the volume is:
\[
V = a^3 \, \text{cubic centimeters}
\]

### 2. Volume of the Middle Rectangular Prism:
The volume \( V \) of a rectangular prism is given by the formula:
\[
V = l \times w \times h
\]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

**Example Calculation:**
- If the length \( l = b \) cm, the width \( w = c \) cm, and height \( h = d \) cm, then:
\[
V = b \times c \times d \, \text{cubic centimeters}
\]

### 3. Volume of the Right Cube:
Similar to the left cube, the volume is calculated using:
\[
V = s^3
\]
where \( s \) is the side length.

**Example Calculation:**
- If the side length \( s = e \) cm, then:
\[
V = e^3 \, \text{cubic centimeters}
\]

### 4. Volume of the Entire Composite Figure:
To find the total volume of the composite figure, sum the volumes of the left cube, middle rectangular prism, and right cube:
\[
\text{Total Volume} = (\text{Volume of Left Cube}) + (\text{Volume of Middle Rectangular Prism}) + (\text{Volume of Right Cube})
\]

**Example Calculation:**
\[
\text{Total Volume} = a^3 + (b \times c \times d) + e^3 \, \text{cubic centimeters}
\]

### Conclusion
Substitute the specific dimensions you have into the formulas to find the volumes of each part and the total volume of the composite figure. If you provide specific dimensions, I can help you calculate the exact volumes.