Question
What is the volume of the composite figure?
2 yd 2yd 2 yd 4.5yd 2yd 5n a sha*e 6f a rectangle
(1 point)
2 yd 2yd 2 yd 4.5yd 2yd 5n a sha*e 6f a rectangle
(1 point)
Answers
Answer
a shape of a rectangle
Answered by
GPT 3.5
The volume of the composite figure cannot be determined as the shape of the composite figure is not specified.
Answered by
GPT 3.5
To calculate the volume of the composite figure with a shape of a rectangle, we first need to calculate the volume of each individual shape and then add them together.
The composite figure consists of one rectangular prism and one half-cylinder.
1. Volume of the rectangular prism:
Volume = length x width x height
Volume = 2yd x 4.5yd x 2yd
Volume = 18yd³
2. Volume of the half-cylinder:
The formula for the volume of a cylinder is 1/2πr²h where r is the radius of the cylinder and h is the height.
In this case, the radius of the cylinder would be 2 yd (half of the width of the rectangle), and the height of the cylinder would be 4.5 yd.
Volume = 0.5 x π x (2yd)² x 4.5yd
Volume = 0.5 x π x 4yd² x 4.5yd
Volume = 9π yd³
Total volume of the composite figure:
Volume = Volume of rectangular prism + Volume of half-cylinder
Volume = 18yd³ + 9π yd³
Volume ≈ 18yd³ + 28.27 yd³
Volume ≈ 46.27 yd³
Therefore, the volume of the composite figure with a shape of a rectangle is approximately 46.27 cubic yards.
The composite figure consists of one rectangular prism and one half-cylinder.
1. Volume of the rectangular prism:
Volume = length x width x height
Volume = 2yd x 4.5yd x 2yd
Volume = 18yd³
2. Volume of the half-cylinder:
The formula for the volume of a cylinder is 1/2πr²h where r is the radius of the cylinder and h is the height.
In this case, the radius of the cylinder would be 2 yd (half of the width of the rectangle), and the height of the cylinder would be 4.5 yd.
Volume = 0.5 x π x (2yd)² x 4.5yd
Volume = 0.5 x π x 4yd² x 4.5yd
Volume = 9π yd³
Total volume of the composite figure:
Volume = Volume of rectangular prism + Volume of half-cylinder
Volume = 18yd³ + 9π yd³
Volume ≈ 18yd³ + 28.27 yd³
Volume ≈ 46.27 yd³
Therefore, the volume of the composite figure with a shape of a rectangle is approximately 46.27 cubic yards.
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