Volume Unit Test

13 of 1513 of 15 Items

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 individual volumes of the table top, block pedestal, and rectangular base, and then adding them together.

1. Volume of table top:
Length x Width x Depth
= 30 inches x 30 inches x 2 inches
= 1800 cubic inches

2. Volume of block pedestal:
Height x Length x Width
= 25 inches x 8 inches x 8 inches
= 1600 cubic inches

3. Volume of rectangular base:
Height x Length x Width
= 4 inches x 12 inches x 12 inches
= 576 cubic inches

Total volume:
1800 cubic inches (table top) + 1600 cubic inches (block pedestal) + 576 cubic inches (rectangular base) = 3976 cubic inches

Therefore, the volume of the table is 3976 cubic inches.