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Questions and Answers
What is the volume formula for a rectangular pyramid?
What is the volume formula for a rectangular pyramid?
- $V = rac{l^2h}{3}$
- $V = lwh$
- $V = rac{lh^2}{2}$
- $V = rac{lwh}{3}$ (correct)
The formula for finding the height of a cylindrical shape is stated as $h = \frac{V}{\pi r^2}$.
The formula for finding the height of a cylindrical shape is stated as $h = \frac{V}{\pi r^2}$.
True (A)
What is the volume of a square pyramid with a side length of 4 cm and height of 3 cm?
What is the volume of a square pyramid with a side length of 4 cm and height of 3 cm?
16 cm^3
The length in the formula for the volume of a rectangular pyramid is represented by the variable ______.
The length in the formula for the volume of a rectangular pyramid is represented by the variable ______.
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Match the following formulas with their corresponding solids:
Match the following formulas with their corresponding solids:
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Study Notes
Units of Measurement
- SI units are standard units of measurement, such as meters for length, grams for weight, and seconds for time.
- Imperial units are a system of measurement used mainly in the USA, such as inches, feet, yards, and miles.
Conversion
- Converting between units involves multiplying or dividing by a specific factor. For example, 3 grams is equal to 0.003 kilograms or 300 centigrams.
Rectangular Pyramid
- The volume of a rectangular pyramid is calculated by multiplying the length, width, and height, and then dividing by three.
- The height, length, and width can be calculated if the volume and two other dimensions are known.
Square Pyramid
- The volume of a square pyramid is calculated by multiplying the square of the side length by the height, and then dividing by three.
- The side length and height can be calculated if the volume and one other dimension are known.
Cylinder
- The volume of a cylinder is calculated by multiplying the square of the radius by the height and then multiplying by pi.
- The height can be calculated by dividing the volume by the product of pi and the square of the radius.
- The radius can be calculated by dividing the volume by the product of pi and the square of the height.
Fractions/Decimals
- Decimals represent fractions where the denominator is a power of ten.
- Some fractions, like 1/3, result in repeating decimals.
- Square roots of numbers are represented by the radical symbol (√).
- The square root of a number is the value that when multiplied by itself gives the original number.
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