Solid geometry › Capacity and water levels

Capacity and coverage

Solve the first problem 12 problems

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1. People in a cinema hall ●○○○○ 10 ptsThe dimensions of a cinema hall are 100 m, 50 m and 18 m. Each person requires 150 m³ of air. How many people can sit in the hall?
2. Persons accommodated in a hall ●○○○○ 10 ptsA hall is 16 m long, 14 m wide and 5 m high. Calculate the number of persons that can be accommodated in the hall, assuming $3.5\ \text{m}^3$ of air is required for each person.
3. Fire extinguishers for a building ●○○○○ 10 ptsOne fire extinguisher is recommended for every 6,000 square feet of a building. How many fire extinguishers are needed for a building of 135,000 square feet? Give the smallest whole number of extinguishers that provides at least one per 6,000 square feet.
4. Gallons of paint for cylindrical columns ●●○○○ 20 ptsTony will paint 16 right cylindrical columns. The top and bottom faces of each column will be covered, so those faces will not be painted. Each column is 18 feet tall and has a diameter of 10 feet. One gallon of paint covers 350 square feet. Paint is sold only in full gallons. How many gallons of paint must Tony buy to paint all 16 columns?
5. Bricks painted by a container ●●○○○ 20 ptsA container has enough paint to cover an area of $9.375$ m$^2$. Each brick measures $22.5$ cm by $10$ cm by $7.5$ cm, and its whole surface is painted. How many such bricks can be painted with the paint in the container?
6. Bricks that a container of paint covers ●●○○○ 20 ptsA container of paint is enough to paint an area of $9.375\ \text{m}^2$. Each brick measures $22.5\ \text{cm} \times 10\ \text{cm} \times 7.5\ \text{cm}$. Assuming the whole surface of each brick is painted, how many bricks can be painted with this paint?

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