can someone explain this to me?
When the temperature is 68°F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometers does sound travel in five seconds?
343 * 5 = 1,715 meters
1,000 meters = 1 kilometer
Divide 1,715 by 1,000
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what is 1,715 divided bye 1,000
When you divide 1,715 by 1,000, the result is 1.715.
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Geometry and Measurement Unit Test Part 2
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A right rectangular prism has a length of 15 millimeters, width of 3 millimeters, and height of 4 millimeters.
What is the surface area of the prism?
To find the surface area of a rectangular prism, you need to add the area of all six faces.
Step 1: Find the area of the front and back faces.
- The front and back faces are rectangles with dimensions 15mm by 4mm (length by height).
- Area of one face = length x height = 15mm x 4mm = 60 mm^2.
- Area of both faces = 2 x 60 mm^2 = 120 mm^2.
Step 2: Find the area of the top and bottom faces.
- The top and bottom faces are rectangles with dimensions 15mm by 3mm (length by width).
- Area of one face = length x width = 15mm x 3mm = 45 mm^2.
- Area of both faces = 2 x 45 mm^2 = 90 mm^2.
Step 3: Find the area of the left and right faces.
- The left and right faces are rectangles with dimensions 3mm by 4mm (width by height).
- Area of one face = width x height = 3mm x 4mm = 12 mm^2.
- Area of both faces = 2 x 12 mm^2 = 24 mm^2.
Step 4: Add the areas of all six faces.
- Surface area of rectangular prism = 120 mm^2 + 90 mm^2 + 24 mm^2 = 234 mm^2.
Therefore, the surface area of the rectangular prism is 234 mm^2.
whats all of that
I provided the step-by-step process to solve the problem of finding the surface area of a right rectangular prism. To find the surface area, you need to add the area of all six faces of the prism. I showed each step in which you need to find the area of each face and then add them together.
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Find the area of the complex figure.
A figure has 8 sides; all sides meet at right angles. The left-most vertical side measures 31 meters. The lower most horizontal side measures 69 meters. The right-most vertical side measures 31 meters. The upper right horizontal side measures 23 meters. The middle horizontal side measures 23 meters. The upper middle left vertical side measures 12 meters.
To find the area of the complex figure, you will need to divide the figure up into smaller geometric shapes and then add up the areas of all the smaller shapes. One way to do this is to split the figure into rectangles and triangles.
Step 1: Split the figure into rectangles and triangles.
- Draw lines to divide the figure into rectangles and triangles.
- Label the dimensions for each rectangle and triangle.
- See the attached diagram for reference.
Step 2: Find the area of each rectangle and triangle.
- Rectangle 1: Area = length x width = 31 m x 23 m = 713 m^2
- Rectangle 2: Area = length x width = 23 m x 69 m = 1587 m^2
- Rectangle 3: Area = length x width = 31 m x 23 m = 713 m^2
- Triangle 1: Area = (1/2) x base x height = (1/2) x 23 m x 12 m = 138 m^2
- Triangle 2: Area = (1/2) x base x height = (1/2) x 31 m x 12 m = 186 m^2
Step 3: Add up the areas of all the rectangles and triangles.
- Total area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3 + Area of Triangle 1 + Area of Triangle 2
- Total area = 713 m^2 + 1587 m^2 + 713 m^2 + 138 m^2 + 186 m^2
- Total area = 3237 m^2
Therefore, the area of the complex figure is 3237 square meters.
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When the temperature is 68°F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometers does sound travel in five seconds?
Given that at a temperature of 68°F, the speed of sound in air is approximately 343 meters per second, we can calculate how far sound travels in 5 seconds as follows:
- In 1 second, the sound travels 343 meters.
- In 5 seconds, the sound travels 343 meters x 5 = 1715 meters.
To convert the distance into kilometers, we need to divide the distance by 1000 (since there are 1000 meters in 1 kilometer):
- 1 kilometer = 1000 meters, so: 1715 meters/1000 = 1.715 kilometers
Therefore, the sound travels approximately 1.715 kilometers in 5 seconds.
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Find the area of the parallelogram.
A parallelogram has a lower side measuring 24 centimeters and a right side measuring 9 centimeters. A dashed vertical segment with endpoints on the upper and lower sides is 8 centimeters and meets the lower left vertex at a right angle.
To find the area of the parallelogram, we need to first find the height. The dashed vertical segment with endpoints on the upper and lower sides that meets the lower left vertex at a right angle is the height of the parallelogram.
Step 1: Draw a diagram of the parallelogram and label the given dimensions.
- The lower side measures 24 cm.
- The right side measures 9 cm.
- The height (dashed vertical segment) is 8 cm.
Step 2: Calculate the area of the parallelogram.
- The area of a parallelogram equals base x height, where the base is the length of the lower side.
- Area of parallelogram = base x height = 24 cm x 8 cm = 192 cm^2.
Therefore, the area of the parallelogram is 192 square centimeters.
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A right rectangular prism has a length of 9.6 millimeters, width of 5 millimeters, and height of 7 millimeters.
What is the volume of the rectangular prism?
To find the volume of a right rectangular prism, you need to multiply its length, width, and height together.
Step 1: Identify the given dimensions of the right rectangular prism.
- Length = 9.6 millimeters
- Width = 5 millimeters
- Height = 7 millimeters
Step 2: Plug in the given dimensions into the formula for the volume of a right rectangular prism and solve.
- Volume of rectangular prism = length x width x height
- Volume = 9.6 mm x 5 mm x 7 mm = 336 mm^3.
Therefore, the volume of the right rectangular prism is 336 cubic millimeters.