A pyramid has a height of 455 ft and its base covers an area of 12.0...

Question

Question

A pyramid has a height of 455 ft and its base covers an area of 12.0 acres (see figure below). The volume of a pyramid is given by the expression

V =1/3Bh

where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft²)

Answer 1

Answer #1

1ft = 0.3048 m 1 ft^2 = 0.0929 m^2

Height of pyramid h = 455 ft = 138.68 m

Base area B = 12 acres = 12*43560 ft^2 = 522720 ft^2

= 48562.28 m^2

Volume of pyramid V = 1/3 Bh = 48562.3*138.7 / 3

= 2244872 m^3

Answer 2

Similar Homework Help Questions

(a) A pyramid has a height of 458 ft and its base covers an area of...

(a) A pyramid has a height of 458 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre 43,560 ft) m3 What If? If the height of the pyramid were increased to 517 ft and the height to base area ratio of the...
17.A pyramid has a height of 481 ft. and the base covers an area of 13.0...

17.A pyramid has a height of 481 ft. and the base covers an area of 13.0 acres. The volume Vof a pyramid is given by the expression V-Bh, where B is the area of the base and h is the height. a) Find the volume of the pyramid in cubic meters. (1 acre 43,560 ft2) b) Assume the pyramid above contains exactly 2 million stone blocks that average 2.50 tons each. Determine the weight of the pyramid in pounds. (1...
A solid oblique pyramid has a regular pentagonal base. The base has an edge length of...

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB measures 30°. What is the volume of the pyramid, to the nearest cubic foot? 5 ft3 9 ft3 14 ft3 19 ft3 A height B 7./3ft

Could you please answer these questions 1- ++++++++ 2- +++++++ 3- +++++++ 4- ++++++++++++++ 5- ++++++++++...

Could you please answer these questions 1- ++++++++ 2- +++++++ 3- +++++++ 4- ++++++++++++++ 5- ++++++++++ 6- +++++++++ 7- +++++++ 8- ++++++++++++++ 9- Calculate the average density of the following astronomical body: Mars. Mars = kg/m3 Where does the value fit among those listed in the table below? Look up the density of a typical rock, such as granite in another source and compare the density of Mars to it. A proton, which is the nucleus of a hydrogen atom,...
(1 point) A Pyramid is 705 ft high (due to erosion,its current height is slightly less)...

(1 point) A Pyramid is 705 ft high (due to erosion,its current height is slightly less) and has a square base of side 6345 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 240 lb/t W- ft-lb
only question 61 Find the area of the base of the right regular pyramid. Then find its total surface area. Give th...

only question 61 Find the area of the base of the right regular pyramid. Then find its total surface area. Give the exact answer and an approximation to the nearest tenth. The measurements are in meters. 61. 62. 21 17 10 Find the area of the base of the right regular pyramid. Then find its total surface area. Give the exact answer and an approximation to the nearest tenth. The measurements are in meters. 61. 62. 21 17 10

A right circular cone has a slant height of 14 ft and a lateral area of...

A right circular cone has a slant height of 14 ft and a lateral area of 981 ft. Find its volume in cubic feet. x )*
A reservoir has the shape of a pyramid with square base, with apex facing down. Its height is 2 m, a side from its base...

A reservoir has the shape of a pyramid with square base, with apex facing down. Its height is 2 m, a side from its base is 3 m and it is filled with water up to 1 m. Δ= (i Leta be the height in meters measured from the apex to the base of the reservor. The weight in New tons of a thin layer of water bete een approximately P (z) Δ# : What is P (z) ? P...
A. Pete Rose visits a horse track and bets on a race that is 8.9 furlongs...

A. Pete Rose visits a horse track and bets on a race that is 8.9 furlongs long. What is its length in meters? Hint:This is the link for what a "Furlong" is: https://en.wikipedia.org/wiki/FFF_system B. What is the length of the racetrack in feet? C. If 5.6 'LBO's = 1 'GBO', and there are 4296 'LBO's in a furlong, what is the race's length in 'GBO's? Hint: CAREFULLY write out units conversions, including units with all numbers. D. The area of...

A rectangular box of height h metres with a square base with side x(t) metres, where initial leng...

A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0) - 4 metres. The volume of water is given by V-(t)h(t) Over time, the sides of the base are decreasing at a rate of dt =-0.05 m/s and the water is leaking from a hole in the base of the...