What is the volume of the composite figure. 5cm 5cm 10cm 5cm 5cm 5cm 12cm
To find the volume of the composite figure, we need to break it down into simpler shapes and calculate their volumes separately.
The composite figure consists of three shapes:
1. Cuboid with dimensions 5cm x 5cm x 10cm
2. Cuboid with dimensions 5cm x 5cm x 5cm
3. Cuboid with dimensions 5cm x 5cm x 12cm
First, let's calculate the volume of each shape:
1. Volume of Cuboid with dimensions 5cm x 5cm x 10cm:
Volume = Length x Width x Height
Volume = 5cm x 5cm x 10cm = 250 cm^3
2. Volume of Cuboid with dimensions 5cm x 5cm x 5cm:
Volume = Length x Width x Height
Volume = 5cm x 5cm x 5cm = 125 cm^3
3. Volume of Cuboid with dimensions 5cm x 5cm x 12cm:
Volume = Length x Width x Height
Volume = 5cm x 5cm x 12cm = 300 cm^3
Now, add the volumes of all three shapes together to find the total volume of the composite figure:
Total Volume = 250 cm^3 + 125 cm^3 + 300 cm^3
Total Volume = 675 cm^3
Therefore, the volume of the composite figure is 675 cm^3.