Question

What is the volume of a composite figure with measurements of 6 inches 2“ 6“ 2 inches and a cube on top of 2 inches and 2 inches

Answer 1

To find the volume of the composite figure, we first need to find the volume of each individual figure and then add them together.

1. The first figure is a rectangular prism with dimensions 6 inches, 2 inches, and 6 inches. The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height. Plugging in the values, we get:

V1 = 6 x 2 x 6 = 72 cubic inches

2. The second figure is a cube with dimensions 2 inches on each side. The volume of a cube is given by the formula V = s^3, where s is the length of a side. Plugging in the value of s, we get:

V2 = 2^3 = 8 cubic inches

Now, to find the total volume of the composite figure, we add the volumes of the two figures:

Total volume = V1 + V2
Total volume = 72 + 8
Total volume = 80 cubic inches

Therefore, the volume of the composite figure is 80 cubic inches.