Solve for the volume of the composite figure we have at the front base 5 cm on the right bottom. It’s 4 cm on the right top at 6 cm in the middle top. It’s 14 cm and on the left top. It’s 6 cm with the answer be 616 cm with a small three on top 54 cm with a small tree on top 952 cm with a small three top or 448 cm with a small three on top
To find the volume of the composite figure, we need to break it down into simpler shapes and then calculate the individual volumes.
The figure can be broken down into a rectangular prism (front part) and a triangular prism (back part).
First, let's find the volume of the rectangular prism:
- Length (L) = 14 cm
- Width (W) = 5 cm
- Height (H) = 6 cm
Volume of rectangular prism = L x W x H
Volume = 14 cm x 5 cm x 6 cm
Volume = 420 cm^3
Next, let's find the volume of the triangular prism:
- Base (B) = 5 cm
- Height (H) = 6 cm
- Length (L) = 4 cm
Volume of triangular prism = (1/2) x B x L x H
Volume = (1/2) x 5 cm x 4 cm x 6 cm
Volume = 60 cm^3
Total volume of the composite figure = Volume of rectangular prism + Volume of triangular prism
Total volume = 420 cm^3 + 60 cm^3
Total volume = 480 cm^3
Therefore, the correct answer is 480 cm with a small 3 on top.