To find the volume of the table, we need to calculate the volume of the table top, the rectangular block pedestal, and the rectangular base separately, and then add them up.
1. Volume of the table top = length x width x depth
Volume = 30 inches x 30 inches x 2 inches = 1800 cubic inches
2. Volume of the rectangular block pedestal = length x width x height
Volume = 8 inches x 8 inches x 25 inches = 1600 cubic inches
3. Volume of the rectangular base = length x width x height
Volume = 12 inches x 12 inches x 4 inches = 576 cubic inches
Now, add up the volumes of the table top, rectangular block pedestal, and rectangular base:
Total volume = 1800 cubic inches + 1600 cubic inches + 576 cubic inches = 3976 cubic inches
Therefore, the volume of the table is 3976 cubic inches.
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
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