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Questions and Answers
How many millimeters are in 5 meters?
5000 mm
Find the perimeter of a rectangle with a length of 8 cm and a width of 5 cm.
26 cm
What is the surface area of a cube with a side length of 4 cm?
96 cm^2
How many liters are in 0.5 kiloliters?
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Find the perimeter of a circle with a radius of 7 cm. Use π = 3.14.
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Study Notes
Conversions Between Units
-
Length:
- 1 meter (m) = 100 centimeters (cm)
- 1 meter (m) = 1000 millimeters (mm)
- 1 kilometer (km) = 1000 meters (m)
-
Capacity:
- 1 liter (L) = 1000 milliliters (mL)
- 1 kiloliter (kL) = 1000 liters (L)
-
Mass:
- 1 kilogram (kg) = 1000 grams (g)
- 1 tonne = 1000 kilograms (kg)
Calculating Perimeter
- Perimeter: the distance around a shape
-
Formulae:
- Rectangle: P = 2(l + w), where l is length and w is width
- Square: P = 4s, where s is side length
- Triangle: P = a + b + c, where a, b, and c are side lengths
- Circle: P = 2Ï€r, where r is radius
Surface Area Formulas
- Surface Area: the total area of the surface of a 3D object
-
Formulae:
- Cube: SA = 6s^2, where s is side length
- Rectangular Prism: SA = 2(lw + lh + wh), where l, w, and h are length, width, and height
- Cylinder: SA = 2Ï€r(h + r), where r is radius and h is height
- Sphere: SA = 4Ï€r^2, where r is radius
Conversions Between Units
- 1 meter is equal to 100 centimeters and 1000 millimeters
- A kilometer is equal to 1000 meters
- 1 liter is equal to 1000 milliliters
- 1 kiloliter is equal to 1000 liters
- A kilogram is equal to 1000 grams
- A tonne is equal to 1000 kilograms
Calculating Perimeter
- Perimeter is the distance around a shape
- The formula for the perimeter of a rectangle is P = 2(l + w)
- The formula for the perimeter of a square is P = 4s
- The formula for the perimeter of a triangle is P = a + b + c
- The formula for the perimeter of a circle is P = 2Ï€r
Surface Area Formulas
- Surface area is the total area of the surface of a 3D object
- The formula for the surface area of a cube is SA = 6s^2
- The formula for the surface area of a rectangular prism is SA = 2(lw + lh + wh)
- The formula for the surface area of a cylinder is SA = 2Ï€r(h + r)
- The formula for the surface area of a sphere is SA = 4Ï€r^2
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Description
This quiz assesses your understanding of unit conversions for length, capacity, and mass, as well as calculating the perimeter of shapes.
