A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 12 inches. The lengths of the rectangular base are 7 inches and 3 inches. The height of the rectangular prism is 4 inches.
What is the volume of the composite figure?

140 cubic inches
147 cubic inches
168 cubic inches
196 cubic inches

Step-by-step explanation:

140 cubic inches

140 cubic inches

Step-by-step explanation:

The formula for determining the volume of a rectangular base pyramid is expressed as

Volume = 1/3 × base area × height

From the information given,

Length = 7 inches

Width = 3 inches

Base area = 7 × 3 = 21 square inches

Height = 12 - 4 = 8 inches

Volume = 1/3 × 21 × 8 = 56 cubic inches

The formula for determining the volume of a rectangular prism is expressed as

Volume = Length × width × height

Volume = 7 × 3 × 4 = 84 cubic inches

Volume of the composite figure is

56 + 84 = 140 cubic inches

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !