Calculating Volume

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Questions and Answers

A rectangular box has a volume of 120 cubic inches. If the length is 5 inches and the width is 4 inches, what is the height of the box?

  • 8 inches
  • 10 inches
  • 12 inches
  • 6 inches (correct)

Which of the following is the correct formula to calculate the volume of a rectangular prism?

  • Area = Length x Width
  • Volume = Length + Width + Height
  • Perimeter = 2(Length + Width)
  • Volume = Length x Width x Height (correct)

A cube has sides of 3 cm. What is its volume?

  • 6 cm
  • 9 cm
  • 27 cm (correct)
  • 18 cm

What units are used to measure the volume of a three-dimensional object?

<p>Cubic units (C)</p> Signup and view all the answers

A storage container is 2 meters long, 1.5 meters wide, and 1 meter high. What is its volume?

<p>3 m (C)</p> Signup and view all the answers

A fish tank is 30 cm long, 20 cm wide, and 15 cm high. What is the volume of the fish tank?

<p>9,000 cm (B)</p> Signup and view all the answers

A rectangular prism has a length of 8 cm, width of 5 cm, and height of 2 cm. What is the volume of the prism?

<p>80 cm (C)</p> Signup and view all the answers

A building block is 2 inches long, 1 inch wide, and 1 inch high. What is the volume of the building block?

<p>2 inches (C)</p> Signup and view all the answers

If a rectangular prism has a volume of 48 cubic meters, a length of 4 meters, and a width of 3 meters, what is its height?

<p>4 meters (D)</p> Signup and view all the answers

What is the first step in calculating the volume of a rectangular object?

<p>Write down the formula for volume. (D)</p> Signup and view all the answers

A sandbox is 5 feet long, 4 feet wide, and 1 foot deep. How much sand is needed to fill it completely?

<p>20 cubic feet (D)</p> Signup and view all the answers

A parcel has a square base where each side is 0.5 meters and the height is 1 meter. What is the volume of the parcel?

<p>0.25 m (D)</p> Signup and view all the answers

A juice box is 10 cm long, 4 cm wide, and 6 cm high. What is the volume of the juice box?

<p>240 cm (A)</p> Signup and view all the answers

After calculating the volume of a rectangular box, what is the final step?

<p>Write the answer in cubic units. (A)</p> Signup and view all the answers

A small room measures 4 meters in length, 3 meters in width, and 2.5 meters in height. What is its volume?

<p>30 m (B)</p> Signup and view all the answers

If a rectangular container has a volume of 60 cubic inches, a length of 5 inches, and a height of 3 inches, what is the width?

<p>4 inches (D)</p> Signup and view all the answers

Which of the following scenarios requires calculating volume?

<p>Determining the amount of water a bottle can hold. (C)</p> Signup and view all the answers

A cereal box is 20 cm high, 5 cm wide, and 8 cm deep. What is the volume of the cereal box?

<p>800 cm (C)</p> Signup and view all the answers

Before multiplying, what must you confirm about the length, width, and height measurements?

<p>They are all in the same units. (B)</p> Signup and view all the answers

A truck bed is 2 meters long, 1.5 meters wide, and 0.5 meters high. What volume of goods, in cubic meters, can it carry?

<p>1.5 m (B)</p> Signup and view all the answers

Flashcards

Volume Formula

The formula for calculating volume is Length x Width x Height.

Plugging in measurements

Replace the variables (length, width, height) with the actual measurements in the volume formula.

Calculate the Volume

Perform the multiplication to calculate the numerical value of the volume.

Units for Volume

Volume is expressed in cubic units (units³).

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Study Notes

  • Volume is calculated using the formula: Length x Width x Height.
  • To find the volume:
    • Write down the formula: L x W x H.
    • Substitute the measurements into the formula.
    • Perform the calculation.
    • Express the answer in cubic units or units³.

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