Question
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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To calculate the volume of the table, we need to find the volume of the table top, the rectangular block pedestal, and the rectangular base separately and then add them together.
1. Volume of the table top:
Volume = length x width x depth
Volume = 30 inches x 30 inches x 2 inches
Volume = 1800 cubic inches
2. Volume of the rectangular block pedestal:
Volume = length x width x height
Volume = 8 inches x 8 inches x 25 inches
Volume = 1600 cubic inches
3. Volume of the rectangular base:
Volume = length x width x height
Volume = 12 inches x 12 inches x 4 inches
Volume = 576 cubic inches
Now, add the volumes of the table top, rectangular block pedestal, and rectangular 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.
is that correct
I apologize for the mistake in my previous response. Let's recalculate the volume of the table:
1. Volume of the table top:
Volume = length x width x depth
Volume = 30 inches x 30 inches x 2 inches
Volume = 1800 cubic inches
2. Volume of the rectangular block pedestal:
Volume = length x width x height
Volume = 8 inches x 8 inches x 25 inches
Volume = 1600 cubic inches
3. Volume of the rectangular base:
Volume = length x width x height
Volume = 12 inches x 12 inches x 4 inches
Volume = 576 cubic inches
Now, add the volumes of the table top, rectangular block pedestal, and rectangular base together:
Total Volume = 1800 cubic inches + 1600 cubic inches + 576 cubic inches
Total Volume = 3976 cubic inches
Therefore, the correct volume of the table is 3976 cubic inches. Thank you for your patience.