The street department's storage building, which is used tostore the rock, gravel, and salt used on the city's roadways,is built in the shape of a regular hexagonal pyramid. Thealtitude of the pyramid has the same length as any side ofthe base. If the volume of the interior is 11,972 ft', findthe length of the altitude and of each side of the base tothe nearest foot.

The volume of a regular hexagonal pyramid with altitude h and side length b is defined as…

Answered: The street department's storage…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Similar questions

A wedding tent is built in the shape of a right rectangular prism topped with a rectangular pyramid. The dimensions of the prism are 38 ft by 38 ft by 7 ft, and the height of the pyramid is 2 ft. Find the total volume of the tent. Round your answer to the nearest tenth if necessary.
A square building is 300 ft in length and width. A copper pipe purchased for $2.25/ ft is placed from one corner to the corner diagonally opposite. How long is the pipe and How much did the pipe cost?
The base of a right prism is a regular hexagon with sides 6 cm. If the volume of the right prism is 500 cubic meters, find the distance between the bases.
Suppose you have two similar pyramids. The base of the first pyramid is a triangle with a base of 6cm and a height of 6cm. The height of the first pyramid is 7cm. The second pyramid has a height of 14cm. What is the volume of the second trianaular pyramid?
A square pyramid has side lengths of 6 yards and a height of 5 yards. An oblique cone has the same height and equal volume.Part A: What is the volume of the pyramid? Show all necessary steps. Part B: What is the radius of the cone? Round to the nearest tenth of a yard. Show all necessary steps.
A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman window is to be 20ft., what should the radius of the semicircle and the height of the rectangle be so that the window will admit the most light?
. A spherical water tank has a radius of 31 feet is being replaced with a cylinder tank with the same radius. How high must the new tank be if it is to hold the same amount of water as the old tank?

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