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Which of the following is the total number of whole boxes that measure 2.5 ft * 2.5 ft * 2.5 ft that can be stored in a room that measures 12 ft * 12 ft * 12 ft, if the size of the boxes cannot be altered?

A. 111

B. 105

C. 150

D. 120

Answer Explanation:

The number of boxes to fit the room is found as volume of the room divided by the volume of the box.

Number of boxes:

\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)

The approximate number of boxes that can be stored in the room is approximately 111 square feet.

Therefore, the Correct Answer is A.

More Questions on TEAS 7 Math

  • Q #1: Which of the following is the median of the date set below? -6, 8, -4, 12, 1

    A. 8

    B. 1

    C. -4

    D. 12

    Answer Explanation

    The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.

    -6, -4, 1, 8, 12

    There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.

  • Q #2: Which of the following is the best estimate of the number of centimeters (cm) in 4 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

    A. 370 cm

    B. 290 cm

    C. 365 cm

    D. 350 cm

    Answer Explanation

    we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.

    The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.

  • Q #3: A recipe calls for 3.4 teaspoons of milk. 1 teaspoon equals approximately 5 mL. Which of the following is the correct amount of milk in mL?

    A. 16.8 mL

    B. 17.0 mL

    C. 10.5 mL

    D. 6.8 mL

    Answer Explanation

    we are asked to find the amount of milk in mL using the given information.

    If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

    A recipe of 3.4 teaspoons is equal to 17.0 mL.