Which of the following is the total number of whole boxes that measure 2 ft * 2 ft * 2 ft that can be stored in a room that measures 9 ft * 9 ft * 9 ft, if the size of the boxes cannot be altered?
125
64
92
18
Correct Answer : B
The number of boxes is determined by finding the volume of the room divided by the volume of the box.
Number of boxes
The approximate number of boxes that can be stored in the room is 92.
However, the room’s dimensions are 9 ft x 9 ft x 9 ft, and the boxes are 2 ft x 2 ft x 2 ft (unchangeable shape). To determine how many boxes fit along each dimension:
- In the 9 ft length, you can fit \(\frac{9}{2} = 4.5\ boxes\) which means only 4 whole boxes fit along this dimension.
- In the 9 ft width, you can fit 4 whole boxes.
- In the 9 ft height, you can fit 4 whole boxes.
Therefore, the total number of boxes that fit is:
\(4 \times 4 \times 4 = 64\ boxes\)
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Related Questions
Correct Answer is B
Explanation
We need to find the circumference of the circle from the given area.
To find the circumference, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, and the area of the circle is given by
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle is 7 in. and the circumference of the circle is given by the relation:
Â
Correct Answer is D
Explanation
A change in number of credit hours result in a change in the amount of access fees, amount of tuition, and availability of student loans. Thus, number of credit hours is the independent variable.
Correct Answer is A
Explanation
To find the greatest number from the given options, we first convert the decimal numbers into fractions.
-0.7 becomes 7/10
-1.3 becomes 13/10
Then, we find the LCM for the denominators of the given fractions. The LCM of 3 and 10 is 30. Now we can multiply each fraction with the LCM.
-2/3*30=-20
-7/10*30=-70
-13/10*30=-39
-4/3*30=-40
Comparing the obtained values from above, -20 is the greatest followed by -39, -40, -70 in that order. The fraction -2/3 gave a value of -20, which was the greatest value. Thus, -2/3 is the greatest value from the given option.
Correct Answer is D
Explanation
We are asked to find the number of students enrolled in the respiratory care program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator. The whole pie chart represents 100%, which is 800 students. Then, 19% will represent
We solve the value of x by cross-multiplying the equation above.
So, 152 students will enroll for a respiratory care program.
Correct Answer is C
Explanation
We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.
Monday’s price was $50.33
Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68
Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61
Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36
Therefore, the price of the stock on Thursday was $52.36.
Correct Answer is D
Explanation
We convert the given value in yard to the cm using the following set up.
The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.
Correct Answer is A
Explanation
To find the cost-effective option, we need to find how much the consumer will spend for the given options:
2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23
3 Packs of Orange will cost $18+$10=$28
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29
5 packs of cream Soda will cost 5($5)=$25
From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
Correct Answer is C
Explanation
Centimeteris the appropriate unit to measure the length of a dollar bill.
Correct Answer is C
Explanation
To calculate the percentage increase in client volume, use the formula:
PercentageIncrease×100
Step 1: Identify values
- Old Value (Year 1): 841 clients
- New Value (Year 2): 1,072 clients
Step 2: Compute the increase
1,072−841=231
Step 3: Calculate the percentage increase
×100 ≈ 27.47%
Step 4: Choose the closest answer
The closest option is 27%.
Correct Answer is D
Explanation
The probability of an event is determined by the relation
Finding the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
The probability of drawing a red ball from the bag is 1/3.
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