A rectangular box has a width of 5 in, a length of 8 in, and a height of 6 in. Which of the following is the volume of the box?
240 in3
236 in3
118 in3
78 in3
Correct Answer : A
To find the volume of the rectangular box, multiply the width, length, and height:
Volume=5×8×6=240 in³
Therefore, the correct answer is A) 240 in³
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Related Questions
Correct Answer is B
Explanation
Let's simplify the expression using the order of operations (PEMDAS):
4+3×2−5
Step 1: Multiply first
3×2=6
Step 2: Rewrite the expression
4+6−5
Step 3: Add and subtract from left to right
4+6=10
10−5=5
Therefore, the correct answer is B) 5
Correct Answer is B
Explanation
Let's find how many bottles the athlete drank by adding the fractions:
+
+
Step 1: Find the common denominator
The denominators are 3, 4, and 10. The least common denominator (LCD) is 60.
Step 2: Convert each fraction
=
;
=
;
=
Step 3: Add the fractions
+
+
=
=
Step 4: Simplify if needed
= 1
Therefore, the correct answer is B) 1 23/60
Correct Answer is C
Explanation
Since x and y vary directly, their ratio is constant:
=
=5
Now, check which option keeps the same ratio x/y=5:
- A) 42/6 = 7 (No)
- B) 52/20=2.6 (No)
- C) 25/5=5 (Yes)
- D) 35/3≈11.67 (No)
Therefore, the correct answer is C) x=25 and y=5
Correct Answer is A
Explanation
We can use similar triangles to solve this.
Given:
- Stick height = 1 meter
- Stick shadow = 0.4 meters
- Tree shadow = 12 meters
- Tree height = ?
Set up a proportion:
=
=
​
Cross multiply:
0.4×x=12×1
Divide both sides by 0.4:
x= ​= 30
Therefore, the correct answer is A) 30 metres
Correct Answer is A
Explanation
To find the volume of the rectangular box, multiply the width, length, and height:
Volume=5×8×6=240 in³
Therefore, the correct answer is A) 240 in³
Correct Answer is B
Explanation
To find the average speed in miles per hour:
Given:
- Distance = 7.125 miles
- Time = 10 minutes
Step 1: Convert time from minutes to hours:
10minutes= =
hours
Step 2: Use the formula for speed:
Speed= =
=7.125×6 =42.75mph
Therefore, the correct answer is B) 42.75 mph
Correct Answer is D
Explanation
Let's find the average rate of change per month.
Step 1: Calculate the change in balance
1450−1140=310
Step 2: Calculate the number of months between March 15 and August 15
From March 15 to August 15 is 5 months.
Step 3: Calculate the average rate of change per month
​= 62
Therefore, the correct answer is D) $62
Correct Answer is A
Explanation
Let's find the worker's take-home pay after a 15% deduction.
Given:
- Weekly salary = $250
- Deduction = 15%
Step 1: Calculate the amount deducted
15%×250=0.15×250=37.5
Step 2: Subtract deduction from salary
250−37.5=212.5
Therefore, the correct answer is A) $212.50
Correct Answer is C
Explanation
Step 1: Find the area of the rectangular walkway
Width = 5 feet
Length = 25 feet
Areawalkway=5×25=125 ft2
Step 2: Find the area of the square patio
Width = 10 feet
Length = 10 feet
Areapatio=10×10=100 ft2
Step 3: Add the two areas
125+100=225 ft2
Therefore, the correct answer is C) 225 ft²
Correct Answer is A
Explanation
To convert the ruler length from inches to centimeters:
Given:
- Ruler length = 12 inches
- 1 inch = 2.54 centimeters
Calculation:
12×2.54=30.48cm
Therefore, the correct answer is A) 30.48 cm
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