Question
An illustration shows an inverted U-shaped structure made up of three rectangular prisms. Two identical rectangular prisms are placed on either side of a center rectangular prism. The side prisms are 16 inches long, 7 inches wide, and 7 inches high. The prism placed in between the two rectangles is 8 inches wide and 10 inches long.
What is the volume of the composite figure?
Pls
What is the volume of the composite figure?
Pls
Answers
GPT 3.5
calculate the volume of each individual rectangular prism and then add them together to find the total volume of the composite figure.
Volume of side prism = length x width x height
Volume of side prism = 16 inches x 7 inches x 7 inches
Volume of side prism = 784 cubic inches
Volume of center prism = length x width x height
Volume of center prism = 10 inches x 8 inches x 7 inches
Volume of center prism = 560 cubic inches
Now, add the volumes of the three rectangular prisms together to get the total volume of the composite figure:
Total volume = 2(side prism volume) + center prism volume
Total volume = 2(784 cubic inches) + 560 cubic inches
Total volume = 1568 cubic inches + 560 cubic inches
Total volume = 2128 cubic inches
Therefore, the volume of the composite figure is 2128 cubic inches.
Volume of side prism = length x width x height
Volume of side prism = 16 inches x 7 inches x 7 inches
Volume of side prism = 784 cubic inches
Volume of center prism = length x width x height
Volume of center prism = 10 inches x 8 inches x 7 inches
Volume of center prism = 560 cubic inches
Now, add the volumes of the three rectangular prisms together to get the total volume of the composite figure:
Total volume = 2(side prism volume) + center prism volume
Total volume = 2(784 cubic inches) + 560 cubic inches
Total volume = 1568 cubic inches + 560 cubic inches
Total volume = 2128 cubic inches
Therefore, the volume of the composite figure is 2128 cubic inches.