Use the image to answer the question.
An illustration shows a center-pedestal type table with the table top placed on vertical rectangular block that has a rectangular base. The table top length and width are 30 inches, with a depth of 2 inches. The height of the rectangular block pedestal is 25 inches, and the width and length are 8 inches each. The length and width of the rectangular base are 12 inches each, and the height is 4 inches. The table top has a checkerboard pattern.
What is the volume of the table?
(1 point)
( ) in.3
To find the volume of the table, we need to calculate the volume of the table top, the pedestal, and the base separately, and then add them together.
1. Table top:
Volume = length x width x depth
Volume = 30 inches x 30 inches x 2 inches
Volume = 1800 cubic inches
2. Pedestal:
Volume = height x width x length
Volume = 25 inches x 8 inches x 8 inches
Volume = 1600 cubic inches
3. Base:
Volume = height x width x length
Volume = 4 inches x 12 inches x 12 inches
Volume = 576 cubic inches
Now, add the volumes of the table top, pedestal, and base together:
Total volume = 1800 cubic inches + 1600 cubic inches + 576 cubic inches
Total volume = 3976 cubic inches
Therefore, the volume of the table is 3976 cubic inches.