The stone used to construct the Great Pyramid of Giza has an average density of 160 pounds per cubic foot. The pyramid has a square base 756 feet on a side and a height of 455 feet. What is the mass in millions of tons, rounded to the nearest tenth of a million?

The base of a pyramid covers an area of 12.8 acres (1 acre = 43,560 ft²) and has a height of 471 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters. m³ ⒸSylvain Grandadam/Photo Researchers, Inc.

A) A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. 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 the pyramid in cubic meters. (1 acre = 43,560ft^2). B) What If? If the height of the pyramid were increased to 525 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase?

Acre-feet (af) is a unit that some non-scientists unwisely use to measure volume of liquids. By definition 1 acre foot is one foot multiplied by 1 acre. 1 acre is equal to about 4 × 104 ft2 . 1. How many cubic feet are in an acre-foot?

If the walls in a room are 80.2 m2 in area and a gallon of paint covers 15.0 square yards, how many gallons of paint are needed to paint the room? The following equalities should prove useful: 1 inch = 2.54 cm, 1 foot2 = 144 inch2, 3 ft = 1 yard.

The density of ordinary air is 1.19 g/L. What is the mass, in kilograms, of the airin a room that measures 14.5 ft x 16.5 ft x 8.0 ft?(Hint: Density is defined as d= m/v, so you need to find the volume of the roomand solve for the mass in the density equation. Make sure you do the appropriateconversions to carry out your operations. Use the correct number of significantfigures to express your answer).

A silver sphere with a radius of 5.8 cm weighs the same as a certain aluminum cube. How long are the sides of this cube (in cm)?

Grains of fine California beach sand are approximately spheres with an average radius of 50 μm and are made of silicon dioxide, which has a density of 2.5 × 103 kg/m3. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.2 m on an edge?

DEA agents watch drug smugglers load cocaine onto a fishing boat in a Mexican river to transport it down the river to the ocean, and then to Miami. To estimate how much cocaine was loaded, they measure how much further the boat sinks into the water after being loaded. If the boat’s area at the waterline is 50 m2 and it sinks by 2 cm, how much cocaine was loaded?

A rectangular container measuring 18 cm ⨯ 45 cm ⨯ 61 cm is filled with water. What is the mass of this volume of water in kilograms and grams? (Take the density of water to be 1000 kg/m3.)