solve for the volume of the composite figure 14cm, 6cm, 6cm, 5cm, 4cm????????
A: 616cm^3
B: 448cm^3
C:952cm^
D:3154cm^3
To find the volume of the composite figure, we need to break it down into simpler shapes and then add their volumes together.
The figure can be broken down into two rectangular prisms and a cube.
First rectangular prism:
Length = 14cm, Width = 6cm, Height = 6cm
Volume = Length x Width x Height = 14cm x 6cm x 6cm = 504cm^3
Second rectangular prism:
Length = 5cm, Width = 6cm, Height = 6cm
Volume = Length x Width x Height = 5cm x 6cm x 6cm = 180cm^3
Cube:
Side length = 4cm
Volume = Side^3 = 4cm x 4cm x 4cm = 64cm^3
Total volume = Volume of first prism + Volume of second prism + Volume of cube
Total volume = 504cm^3 + 180cm^3 + 64cm^3
Total volume = 748cm^3
Therefore, the correct answer is not listed.
the correct answer IS LISTED!!!!
Apologies for the oversight. Let's recheck the calculations.
The volume of each shape within the composite figure is as follows:
1. First rectangular prism: 14cm x 6cm x 6cm = 504cm^3
2. Second rectangular prism: 5cm x 6cm x 6cm = 180cm^3
3. Cube: 4cm x 4cm x 4cm = 64cm^3
Total volume = 504cm^3 + 180cm^3 + 64cm^3
Total volume = 748cm^3
Since this total volume is not listed in the options provided, let's recalculate the composite figure's volume.
The correct volume of the composite figure is:
Volume = 14cm x 6cm x 6cm + 6cm x 6cm x 5cm + 4cm x 4cm x 4cm
Volume = 504cm^3 + 180cm^3 + 64cm^3
Volume = 748cm^3
Since 748cm^3 is not among the options given, there may have been a mistake in either the dimensions provided for the composite figure or in the provided answer choices.