Metric System Conversion and Volume Quiz

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Questions and Answers

What is the volume of a rectangular prism with a length of 8 cm, width of 4 cm, and height of 3 cm?

  • 64 cm³ (correct)
  • 96 cm³
  • 120 cm³
  • 144 cm³

If the base area of a rectangular prism is 36 cm² and its volume is 108 cm³, what is its height?

  • 3 cm
  • 2 cm
  • 4 cm (correct)
  • 5 cm

A rectangular prism has a width of 5 cm and a height of 7 cm. If its volume is 105 cm³, what is its length?

  • 6 cm
  • 4 cm
  • 3 cm (correct)
  • 2 cm

The base area of a rectangular prism is 25 cm². If its length is 5 cm and its volume is 125 cm³, what is its height?

<p>5 cm (D)</p> Signup and view all the answers

What instrument is commonly used to measure the volume of a liquid?

<p>Graduated cylinder (D)</p> Signup and view all the answers

What does 'cc' stand for when measuring volume?

<p>Cubic centimeter (equivalent to 1 mL) (B)</p> Signup and view all the answers

What is the volume of a cube with length of 3 cm?

<p>9 cm³ (A)</p> Signup and view all the answers

How many cm are equivalent to 1.5 m?

<p>1500 cm (A)</p> Signup and view all the answers

Which is larger, 1 deciliter or 100 mL?

<p>1 deciliter (B)</p> Signup and view all the answers

What is the volume of a rectangular prism with length 5 cm, width 4 cm, and height 3 cm?

<p>60 cm³ (D)</p> Signup and view all the answers

Which is larger: 1 kg or 1000 g?

<p>1 kg (D)</p> Signup and view all the answers

How many mL are equivalent to 2.5 L?

<p>2500 mL (A)</p> Signup and view all the answers

What is the volume of a cube with length of 5 mm?

<p>$125 mm^{3}$ (A)</p> Signup and view all the answers

Which is smaller: 1 hectoliter or 1000 L?

<p>$1 hL$ (A)</p> Signup and view all the answers

How many milligrams (mg) are equivalent to 2.3 grams?

<p>$2300 mg$ (D)</p> Signup and view all the answers

What is the volume of a cube with length of 8 cm?

<p>$512 cm^{3}$ (A)</p> Signup and view all the answers

Flashcards

Rectangular Prism Volume (8x4x3)

Volume is found by multiplying length, width, and height: Volume = L x W x H. For this prism: 8 cm x 4 cm x 3 cm = 96 cm³

Rectangular Prism Height (V=108, A=36)

Height = Volume / Base Area. Height = 108 cm³ / 36 cm² = 3 cm

Rectangular Prism Length (V=105, W=5, H=7)

Length = Volume / (Width x Height). Length = 105 cm³ / (5 cm x 7 cm) = 3 cm

Rectangular Prism Height (V=125, A=25)

Height = Volume / Base Area. Height = 125 cm³ / 25 cm² = 5 cm

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Volume Measurement Tool for Liquids

A graduated cylinder is a laboratory apparatus used for measuring the volume of a liquid.

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What does 'cc' stand for?

Cubic centimeter, a unit of volume in the metric system. 1 cc = 1 mL

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Volume of a Cube (side = 3 cm)

The volume of a cube is side * side * side. For a cube with a 3 cm side, the volume = 3 cm * 3 cm * 3 cm = 27 cm³

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cm to m Conversion

There are 100 centimeters in a meter. So, 1.5 m * 100 cm/m = 150 cm

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Comparing Deciliter and Milliliter

1 deciliter (dL) is equal to 100 milliliters (mL).

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Rectangular Prism Volume (5x4x3)

Volume is found by multiplying length, width, and height, Volume = L x W x H. Therefore, 5 cm x 4 cm x 3 cm = 60 cm³

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Comparing Kilogram and Gram

1 kilogram (kg) is equal to 1000 grams (g). So they are equal

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Liter to Milliliter Conversion

There are 1000 milliliters in a liter. So, 2.5 L * 1000 mL/L = 2500 mL

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Volume of a Cube (side = 5 mm)

The volume of a cube is side * side * side. For a cube with a 5 mm side, V = 5mm * 5mm * 5mm= $125 mm^{3}$

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Comparing Hectoliter and Liter

1 hectoliter (hL) is equal to 100 liters (L). Therefore 1 hL is smaller than 1000 L

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Grams to Milligrams

There are 1000 milligrams in a gram. So, 2.3 g * 1000 mg/g = 2300 mg

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Volume of a Cube (side = 8 cm)

The volume of a cube is side * side * side. For a cube with a 8 cm side, V = 8cm * 8cm * 8cm = $512 cm^{3}$

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Study Notes

Volume of Rectangular Prisms

  • Volume formula: Volume = length × width × height
  • Rectangular prism with a length of 8 cm, width of 4 cm, height of 3 cm has a volume of 96 cm³.
  • If the base area is 36 cm² and volume is 108 cm³, the height can be calculated as height = Volume / Base Area, resulting in a height of 3 cm.
  • A rectangular prism with width 5 cm, height 7 cm, and volume 105 cm³ can find its length using the formula length = Volume / (width × height). The length is 3 cm.
  • Base area of 25 cm², length of 5 cm, and volume of 125 cm³ gives height as height = Volume / Base Area, which results in a height of 5 cm.

Measurement Instruments

  • A graduated cylinder is commonly used to measure the volume of a liquid.

Volume Measurement Units

  • 'cc' stands for cubic centimeter, a unit of volume measurement.

Volume of Cubes

  • Volume formula for a cube: Volume = side length³.
  • A cube with a side length of 3 cm has a volume of 27 cm³.
  • A cube with a side length of 5 mm has a volume of 125 mm³.
  • A cube with a side length of 8 cm has a volume of 512 cm³.

Unit Conversions

  • 1.5 m is equivalent to 150 cm.
  • 2.5 L is equivalent to 2500 mL.
  • 1 kg is equal to 1000 g, hence they are equivalent.
  • 1 deciliter is larger than 100 mL.
  • 1000 L is larger than 1 hectoliter.
  • 2.3 grams is equivalent to 2300 milligrams.

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