The right rectangular prism has length= 5 and width = 6.25 which is option B).
<u>Step-by-step explanation:</u>
<u>The Formula for volume of right rectangular prism is given as :</u>
Volume = length× width× height.
<u>The given information are :</u>
- The volume of the rectangular prism is 250 cubic centimeters.
- The height of the rectangular prism is 8 centimeters.
<u>To find length and width :</u>
Substitute volume = 250 and height = 8 in the above formula,
Volume of right rectangular prism = length× width× height.
250 = length× width× 8
length× width = 250/8
length× width = 31.25 -------(1)
Now, substitute the given options in the equation(1) and check which values of length and width satisfies the equation.
Option A) l= 5 and w= 6
length× width = 31.25
5×6 = 30 (less that 31.25)
<u>Option B) l= 5 and w= 6.25</u>
length× width = 31.25
<u>5×6.25 = 31.25 (satisfies the equation)</u>
Option C) l= 5.25 and w= 6
length× width = 31.25
5.25×6 = 31.5 (greater that 31.25)
Option D) l= 5.5 and w= 6.2
length× width = 31.25
5.5×6.2 = 34.1 (greater that 31.25)
Answer:
Step-by-step explanation:
30 students volunteered to set up booths for the school fair. All of the students worked 2 hours after school on Thursday and on Friday. This means the total number of hour worked on Thursday is 30 × 2 = 60 hours and Friday is 30 × 2 = 60 hours
Twelve of them also worked 3 hours on Wednesday. It means that the total number of hour worked on Wednesday is
12 × 3 = 36 hours
If they did this for 2 weeks, it means that they worked for 2 Wednesdays, 2 Thursdays and 2 Fridays.
Total number of hours worked will be
2×60 + 2×60 + 2×36 = 120 + 120 + 72 = 312 hours
Answer:
a = 3,137
Step-by-step explanation:
We have to use the sin rule to solve. THis gives ratios of side and opposite side's angle's sin.
Sin rule is:
First, we know there are 180 degrees in 3 angles of a triangle, so lets find ∠A:
∠A + ∠B + ∠C = 180
∠A + 11 + 75 = 180
∠A + 86 = 180
∠A = 180 - 86
∠A = 94
Now since we know the angle B and side b pair, we can relate with a and write the sin rule as:
Now we cross multiply and solve for side a:
So last answer choice is right, a = 3137
If there are 240 ounces of punch, you will need 144 oz of fruit juice