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 A
Explanation
What fraction of the pizza the other three friends get is what is asked to find.
First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:
First friend eats =1/2 of 1=1/2
Remaining fraction of the pizza=1-1/2=1/2
Now, the three friends share ½ amongst themselves equally. Then, each friend gets
The three friends each gets 1/6 of the pizza.
Correct Answer is B
Explanation
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.
Add 10 to both sides of the equation
Next, we apply the absolute rule:
,  a>0, then u=a or u=-a
In this case a=12, which is greater 0. Then, the first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -1 or 2.
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
Let x be the employee's salary before the raise. The employee received a 20% raise, so the new salary is:
x+0.2x=60,000
Step 1: Factor out x
1.2x=60,000
Step 2: Solve for x
x=60,000/1.2=50,000
Correct Answer is C
Explanation
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, t is an independent variable, which when changed changes the values of the f(t).
Correct Answer is C
Explanation
The question requires us to find the percentage change in weight of a person.
First, we need to find the change in weight over the 3 months
Change in weight= 180-160=20 lb
Percent change in weight is change of original weight *100. Thus
The percent change in weight is 11% to the nearest whole number.
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 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 A
Explanation
The mean of a data set is the total scores divided by the number of tests.
Total test scores =100+78+47+84+93+78=480
Number of tests =6
Mean test score =480/6=80
The mean test score is 80.
Correct Answer is C
Explanation
We required to find the units of finding the weight of a spoon. The mass is measured in kilogram and grams. Kilograms are used to measure the mass of heavier objects while grams for small and lighter objects.
Thus, gram is the appropriate unit for measuring weight of a spoon.
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