free Ask question
Sign In
.
Mathematics : asked on uniqueray33
 08.05.2021

Find the base length of a shipping box in the shape of a triangular prism. The shipping box has a volume of 276 cubic feet. The triangle height measures 6.9 feet, and a height of of the prism is 10 feet.

. 8

Step-by-step answer

23.01.2022, solved by verified expert
.
Bhaskar Singh Bora
p PhD
Mathematics, Physics. Q&A Expert
18 022 answers
4.8 . rating
Unlock the full answer
1 students found this answer . helpful

Given, Volume of triangular prism (V)= 276 ft^3

Height of prism(h) = 6.9ft

Width of prism(w) = 10ft 

Let l be the length of triangular prism.

We know Volume of triangular prism = (1/2)lwh 

276 = (1/2)×l×6.9×10

34.5l = 276

l = 276/34.5

l = 8ft

It is was helpful?
. Helpful Useless

Faq

Mathematics
Find the base length of a shipping box in the shape of a triangular prism the shipping box has a volume of 276 cubic feet a base height of 6.9 ft and a height of 10 ft
Step-by-step answer
P Answered by PhD
The volume is given by:
 V = A * H
 Where,
 A: area of the base
 H: prism height
 Clearing the area we have:
 A = V / H
 A = 276/10
 A = 27.6 feet ^ 2
 The area of the base is given by:
 A = (1/2) * (b) * (h)
 Where,
 b: base of the triangle
 h: height of the triangle
 Clearing b we have:
 b = (2 * A) / (h)
 Substituting values:
 b = (2 * 27.6) / (6.9)
 b = 8 feet
 
 the base length is:
 b = 8 feet
Mathematics
Find the base length of a shipping box in the shape of a triangular prism the shipping box has a volume of 276 cubic feet a base height of 6.9 ft and a height of 10 ft
Step-by-step answer
P Answered by PhD
The volume is given by:
 V = A * H
 Where,
 A: area of the base
 H: prism height
 Clearing the area we have:
 A = V / H
 A = 276/10
 A = 27.6 feet ^ 2
 The area of the base is given by:
 A = (1/2) * (b) * (h)
 Where,
 b: base of the triangle
 h: height of the triangle
 Clearing b we have:
 b = (2 * A) / (h)
 Substituting values:
 b = (2 * 27.6) / (6.9)
 b = 8 feet
 
 the base length is:
 b = 8 feet
Mathematics
The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Use the X method to find the solutions of6x2 + 2x – 20 = 0.
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Thomas got a haircut from the barber. If the haircut costs $32 and he wants to leave a 18% tip, how much will he pay in total?
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
If a european swallow flies 15 meters every 1 second how many would kilometers would it fly in 15 minutes
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

free Ask question
Today we have helped
861 students
just now
Mathematics
7. If the diagonals of a square measure 24 meters, what is the length of a side of the
square?
s Answered by Specialist
just now
Chemistry
According to Avogadro's law, how will the number of molecules in 2 liters of hydrogen gas compare with the number of molecules in 2 liters of oxygen gas at the same temperature and pressure?
s Answered by Specialist
1 minute ago
Chemistry
5. The heat of fusion of lead is 25 J/g and its melting point is 601 K. How much heat is given off as 3.0 g of liquid lead solidifies at 601 K?
p Answered by PhD
2 minutes ago
Mathematics
Solve the inequality 4i−4(i+2)≥6(8i−8) and write the solution in interval notation
s Answered by Specialist
2 minutes ago
Engineering
An electrical device is insulated on all sides except one face. That face is bonded to a 4mm thick aluminum plate which is cooled by air. The electrical device dissipates 10^4 W m2 The resistance of the joint between the device and aluminum plate is 0.5E-4 m2K W The conductivity of the aluminum is 238 W mK The temperature of the air is 278 K and the convection coefficient from the aluminum plate to the air is 100 W m2K What is the operating temperature of the device
p Answered by PhD
. Get help with homework
What is Studen
Studen helps you with homework in two ways:
.
Use search
Our base includes complete solutions from various experts
chat
Leave a question
Studen will automatically choose an expert for you.
directly
Ask directly
We have more than 5 000 verified experienced expert
Blog About FAQ Privacy Copyright Policy
Contact Terms of Service Honor Code Cookie Policy
Follow us
Download app
google
app store
© 2024 Studen

Try asking the Studen AI a question.

It will provide an instant answer!

FREE