The solid figure is separated along the dotted line into two rectangular prisms.
What are the volumes of the two rectangular prisms?
What is the volume of the solid figure?
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A solid is made up of 2 rectangular prisms. The total length of the solid is 20 inches. First rectangular prisms has a height of 5 inches, and width of 4 inches. Second rectangular prisms has length as 4 inches, height of 8 inches, and width of 4 inches.
The volume of two rectangular prisms are
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cubic inches and 128 cubic inches. The volume of the solid figure is
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cubic inches.
The volume of the first rectangular prism is 5 x 4 x (20-4) = 80 cubic inches.
The volume of the second rectangular prism is 8 x 4 x (20-4) = 128 cubic inches.
Therefore, the volumes of the two rectangular prisms are 80 and 128 cubic inches, respectively.
To find the volume of the solid figure, we need to add the volumes of the two rectangular prisms:
80 + 128 = 208 cubic inches.
Therefore, the volume of the solid figure is 208 cubic inches.