What is the volume of the composite figure. 5cm 5cm 10cm 5cm 5cm 5cm 12cm

Answer 1

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.