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
The volume of the table can be calculated by finding the volume of the table top, the rectangular block pedestal, and the rectangular base separately, and then adding them up.
1. Volume of the table top:
Length x Width x Depth
30 inches x 30 inches x 2 inches = 1800 cubic inches
2. Volume of the rectangular block pedestal:
Length x Width x Height
8 inches x 8 inches x 25 inches = 1600 cubic inches
3. Volume of the rectangular base:
Length x Width x Height
12 inches x 12 inches x 4 inches = 576 cubic inches
Total volume of the table:
1800 cubic inches (table top) + 1600 cubic inches (rectangular block pedestal) + 576 cubic inches (rectangular base) = 3976 cubic inches
Therefore, the volume of the table is 3976 cubic inches.