 Mathematics
2 February, 03:32

# 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 inches147 cubic inches168 cubic inches196 cubic inches

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1. 2 February, 05:13
0
Step-by-step explanation:

140 cubic inches
2. 2 February, 05:20
0

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