Question

The composite figure is12 cm 5 cm 5cm 10 cm and 5 cm 5 cm 5 cm Solve for the volume of the composite figure
(1 point)
370 cm
725 cm
170 cm
850 cm

Answer 1

To correctly calculate the volume of the composite figure, we need to break it down into simpler shapes and then add their volumes together.

First, we have a rectangular prism with dimensions 12 cm, 5 cm, and 5 cm. The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

V1 = 12 cm * 5 cm * 5 cm
V1 = 300 cm³

Next, we have another rectangular prism with dimensions 10 cm, 5 cm, and 5 cm.

V2 = 10 cm * 5 cm * 5 cm
V2 = 250 cm³

Lastly, we have a cube with side lengths of 5 cm. The volume of a cube is given by the formula V = s^3, where s is the side length.

V3 = 5 cm * 5 cm * 5 cm
V3 = 125 cm³

Now, add the volumes of the three shapes together to get the total volume of the composite figure:

V_total = V1 + V2 + V3
V_total = 300 cm³ + 250 cm³ + 125 cm³
V_total = 675 cm³

Therefore, the volume of the composite figure is 675 cm³.

The closest answer choice to this result is 725 cm³.