Gr 11 Math Lit: Ch 2.4 Calculate
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Questions and Answers

What is the volume of a cubic meter in liters?

  • 1,000,000 liters
  • 1000 liters (correct)
  • 100 liters
  • 10,000 liters

    • What is the conversion ratio of 1 cubic centimeter to milliliters?

  • 1 cm³ = 1 ml (correct)
  • 1 cm³ = 0.1 ml
  • 1 cm³ = 100 ml
  • 1 cm³ = 10 ml

    • If 1 meter equals 100 centimeters, then 1 square meter equals?

  • 100 square centimeters
  • 1,000,000 square centimeters
  • 100 square centimeters
  • 10,000 square centimeters (correct)

    • What is the volume of a cubic centimeter in milliliters?

    <p>1 ml</p> Signup and view all the answers

    If 1 cubic meter equals 1,000,000 cubic centimeters, then 1 cubic centimeter equals?

    <p>0.0001 cubic meters</p> Signup and view all the answers

    What is the area of a square centimeter in square millimeters?

    <p>10,000 square millimeters</p> Signup and view all the answers

    What is the unit of measurement for surface area?

    <p>square units</p> Signup and view all the answers

    What is the formula for the surface area of a rectangular box?

    <p>SA = 2lw + 2lh + 2wh</p> Signup and view all the answers

    What is the volume of a rectangular box with a length of 5cm, width of 3cm, and height of 2cm?

    <p>20cm³</p> Signup and view all the answers

    What is the formula for the volume of a cylindrical container?

    <p>V = πr²h</p> Signup and view all the answers

    What is the purpose of conversion between units in surface area and volume calculations?

    <p>To convert from square units to liters for practical applications</p> Signup and view all the answers

    What is the unit of measurement for volume?

    <p>cubic units</p> Signup and view all the answers

    What is the formula for the surface area of a cylinder with a lid and base?

    <p>SA = 2πr² + 2πrh</p> Signup and view all the answers

    What is the definition of volume?

    <p>Both of the above</p> Signup and view all the answers

    What is the conversion ratio of 1 cubic meter to cubic centimeters?

    <p>$1,000,000$</p> Signup and view all the answers

    If 1 square meter equals $10,000$ square centimeters, then 1 cubic meter equals how many cubic centimeters?

    <p>$1,000,000$</p> Signup and view all the answers

    If the length of a rectangular box is $10$ cm and the width is $5$ cm, what is the conversion ratio of its area from square centimeters to square millimeters?

    <p>1:1000</p> Signup and view all the answers

    What is the reason for the difference in conversion ratios between surface area and volume units?

    <p>The conversions are based on different dimensions.</p> Signup and view all the answers

    If a container holds $1000$ liters of water, what is its volume in cubic meters?

    <p>$1$</p> Signup and view all the answers

    What is the key consideration when converting between surface area and volume units?

    <p>The dimensions must be considered.</p> Signup and view all the answers

    What is the surface area of a rectangular box with a length of 4cm, width of 3cm, and height of 2cm?

    <p>52cm²</p> Signup and view all the answers

    What is the volume of a cylinder with a radius of 2cm and a height of 5cm?

    <p>40πcm³</p> Signup and view all the answers

    What is the surface area of a cylinder with a radius of 3cm and a height of 4cm?

    <p>66πcm²</p> Signup and view all the answers

    What is the purpose of conversion between units in surface area and volume calculations?

    <p>To convert between different units of measurement</p> Signup and view all the answers

    What is the volume of a rectangular box with a length of 6cm, width of 4cm, and height of 3cm?

    <p>72cm³</p> Signup and view all the answers

    What is the surface area of a rectangular box with a length of 5cm, width of 4cm, and height of 3cm?

    <p>62cm²</p> Signup and view all the answers

    What is the volume of a cylinder with a radius of 4cm and a height of 6cm?

    <p>96πcm³</p> Signup and view all the answers

    What is the surface area of a cylinder with a radius of 5cm and a height of 7cm?

    <p>142πcm²</p> Signup and view all the answers

    What is the relationship between the conversion of cubic meters to liters and the conversion of cubic centimeters to milliliters?

    <p>The conversion of cubic meters to liters is 1000 times the conversion of cubic centimeters to milliliters</p> Signup and view all the answers

    If 1 cubic meter equals 1,000,000 cubic centimeters, what is the relationship between the conversion of square meters to square centimeters and the conversion of cubic meters to cubic centimeters?

    <p>The conversion of square meters to square centimeters is 10,000 times the conversion of cubic meters to cubic centimeters</p> Signup and view all the answers

    If a rectangular box has a length of 10 cm, a width of 5 cm, and a height of 3 cm, what is the relationship between its surface area in square centimeters and its volume in cubic centimeters?

    <p>The surface area is 100 times the volume</p> Signup and view all the answers

    What is the key consideration when converting between cubic units and liquid measures?

    <p>The conversion ratio depends on the specific units being converted</p> Signup and view all the answers

    If a cylinder has a radius of 3 cm and a height of 5 cm, what is the relationship between its volume in cubic centimeters and its surface area in square centimeters?

    <p>The volume is not directly related to the surface area</p> Signup and view all the answers

    What is the main difference between converting between surface area units and converting between volume units?

    <p>The conversion ratios are different for surface area and volume units</p> Signup and view all the answers

    What is the surface area of a rectangular box with a length of 10cm, width of 8cm, and height of 6cm?

    <p>208 $cm^2$</p> Signup and view all the answers

    A cylindrical container has a radius of 5cm and a height of 12cm. What is its volume?

    <p>1004 $cm^3$</p> Signup and view all the answers

    What is the surface area of a cylinder with a lid and base, with a radius of 3cm and a height of 10cm?

    <p>226 $cm^2$</p> Signup and view all the answers

    A rectangular box has a length of 8cm, width of 6cm, and height of 4cm. What is its volume?

    <p>192 $cm^3$</p> Signup and view all the answers

    What is the conversion ratio of 1 cubic meter to cubic centimeters?

    <p>1,000,000</p> Signup and view all the answers

    What is the surface area of a rectangular box with a length of 6cm, width of 4cm, and height of 2cm?

    <p>72 $cm^2$</p> Signup and view all the answers

    A cylindrical container has a radius of 4cm and a height of 8cm. What is its volume?

    <p>433 $cm^3$</p> Signup and view all the answers

    What is the surface area of a cylinder with a lid and base, with a radius of 6cm and a height of 12cm?

    <p>506 $cm^2$</p> Signup and view all the answers

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