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gregori [183]
3 years ago
15

Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the py

ramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.
Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

V=6.66\ ft^3

Step-by-step explanation:

The perimeter of the square base of a pyramid = 7.3 ft

The height of the pyramid, h = 6ft

The perimeter of a square is given by :

P = 4s, s is the side of square

7.3 = 4s

s = 1.825 ft

The volume of a pyramid is given by :

V=\dfrac{lbh}{3}

Here, l = b = 1.825 ft

So,

V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3

So, the volume of the pyramid is equal to 6.66\ ft^3.

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In the question, we are given with speed of a car and the distance it have to travel.

Given:

  • Speed of the car = 40 km/hr.
  • Distance to travel = 60 km

So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.

This can be easily done by using the Speed, Distance and Time formula which says:

\large{ \boxed{ \bf{Distance = Speed \times Time}}}

So, let's solve by using this formula.

⇛ s = v × t

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⇛ t = 60 km / 40 km/hr

⇛ t = 3/2 hr.

⇛ t = 90 mins or 1 1/2 hours

So, time the car will take to travel 60 km:

\large{ \boxed{ \bf{ \purple{t = 1  \dfrac{1}{2} hr}}}}

And we are done !!

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Answer:

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V

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