Question

The composite figure is 6 cm 14 cm 6 cm 5 cm and 4 cm Solve for the volume of the composite figure

(1 point)
• 952 cm³
• 154 сm³
• 616 сm³

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the composite figure, we first need to break it down into simpler shapes and find the volume of each shape separately.

The composite figure can be split into two rectangular prisms and a cube.

First rectangular prism:
Length = 6 cm
Width = 14 cm
Height = 6 cm

Volume = Length x Width x Height
Volume = 6 cm x 14 cm x 6 cm
Volume = 504 cm³

Second rectangular prism:
Length = 5 cm
Width = 14 cm
Height = 4 cm

Volume = Length x Width x Height
Volume = 5 cm x 14 cm x 4 cm
Volume = 280 cm³

Cube:
Side length = 6 cm

Volume = Side length³
Volume = 6 cm x 6 cm x 6 cm
Volume = 216 cm³

Now, add the volumes of all three shapes together:
504 cm³ + 280 cm³ + 216 cm³ = 1000 cm³

Therefore, the volume of the composite figure is 1000 cm³. None of the given options match the correct answer, so the closest option is 952 cm³.