Question

Milton got a paperweight like the one shown below. He needs to fill it with sand to give it weight. A shape obtained by combining a  cube with side a and square prism with side a and height 2a  together. Note: Figure is not drawn to scale. If a = 3 inches, what is the volume of the paperweight? A. 108 cubic inches B. 81 cubic inches C. 126 cubic inches D. 54 cubic inches

Answer 1

The volume of the paperweight is b. 81 cubic inches.

Step-by-step explanation:

The paperweight is made up of a cube with side length a and a square prism with side length a and height 2a. To find the volume of the paperweight, we need to find the volume of each component and then add them together. The volume of the cube is a^3 and the volume of the square prism is a^2 * 2a. Plugging in a = 3 inches, we can calculate the volume.

Volume of the cube = 3^3 = 27 cubic inches

Volume of the square prism = (3^2) * 2 * 3 = 54 cubic inches

Total volume of the paperweight = Volume of the cube + Volume of the square prism = 27 + 54 = 81 cubic inches