Perimeter, Area & Volume — Quiz 3

Questions in this quiz (8)

1. A rectangular box has two sides whose lengths are 4 centimeters and 8 centimeters. The volume of the box is 576 cubic centimeters. What is the area of its largest side in $$cm^2$$?

   • 144
   • 72
   • 576
   • 32

2. A cube has a volume of $$m$$ $$\text{cm}^3$$ and a surface area of $$6m$$ $$\text{cm}^2.$$ What is the length of one side of the cube in centimeters?

   • 6
   • 3
   • 1
   • 4

3. A cylindrical silo whose diameter is 4 times the height of the silo. The silo holds approximately 502.65 cubic meters of water. Which of the following answer choices most closely approximates the height of the silo?

   • 5.22
   • 6.52
   • 4.48
   • 3.42

4. Circle X has a radius of 5p and circle Y has a radius of 50p, where p is a positive constant. The area of circle Y is how many times the area of circle X?

   • 100
   • 200
   • 150
   • 300

5. If the surface area of a $$4 \times 5 \times z$$ rectangular box is 130, what is $$z$$?

   • 3
   • 4
   • 5
   • 6

6. If a square is inscribed in a circle, what is the ratio of the area of the square to the area of the circle?

   • $$\frac{2}{\pi}$$
   • $$\frac{\sqrt{2}}{\pi}$$
   • $$\frac{4}{\pi}$$
   • $$\frac{1}{2 \pi}$$

7. If a right triangle with legs of length 6 and 8 is inscribed in a circle, what is the area of the circle?

   • $$25\pi$$
   • $$5\pi$$
   • $$10\pi$$
   • $$2\pi$$

8. A large cylindrical water tank has a height of 12 feet and a radius of 5 feet. Smaller cylindrical containers with a height of 3 feet and a radius of 2 feet are used to transfer water into the tank. If 25 of these containers have already been emptied into the tank, how many additional containers can be added before the tank reaches full capacity?

   • 7
   • 5
   • 10
   • 0