Geometry and Trigonometry - Area and volume — Quiz 4

Questions in this quiz (10)

1. A cylindrical container has a height of $$40$$ centimeters. The radius of container $$A$$ is $$10$$ centimeters, and the radius of container $$B$$ is $$50\%$$ greater than the radius of container $$A$$. What is the volume, in cubic centimeters, of container $$B$$?

   • $$9000\pi$$
   • $$12000\pi$$
   • $$15000\pi$$
   • $$22500\pi$$

2. A triangle has a base length of $$30$$ centimeters and a height of $$20$$ centimeters. What is the area, in square centimeters, of the triangle?

   • $$150$$
   • $$300$$
   • $$600$$
   • $$900$$

3. A circle has a circumference of $$20\pi$$ centimeters. What is the diameter, in centimeters, of the circle?

   • 20

4. The floor of a gym has an area of $$900$$ square meters. A scale model is created where each side length is $$\frac{1}{5}$$ of the actual floor. What is the area, in square meters, of the scale model?

   • $$36$$
   • $$45$$
   • $$90$$
   • $$180$$

5. Rectangles $$JKLM$$ and $$NOPQ$$ are similar. The length of each side of rectangle $$NOPQ$$ is $$3$$ times the length of the corresponding side of $$JKLM$$. The area of rectangle $$JKLM$$ is $$8$$ square units. What is the area, in square units, of rectangle $$NOPQ$$?

   • $$24$$
   • $$48$$
   • $$72$$
   • $$72$$

6. A right circular cone has a height of $$12$$ centimeters and a base diameter of $$10$$ centimeters. The volume of this cone is $$n\pi$$ cubic centimeters. What is the value of $$n$$?

   • 100

7. A cube has edge length $$12$$ inches and does not have a top face. What is the exterior surface area, in square inches, of this open cube?

   • 720

8. Rectangle $$UVWX$$ is similar to rectangle $$YZAB$$. The area of rectangle $$UVWX$$ is $$100$$ square inches, and the area of rectangle $$YZAB$$ is $$25$$ square inches. The longest side of rectangle $$UVWX$$ is $$20$$ inches. What is the length, in inches, of the longest side of rectangle $$YZAB$$?

   • $$5$$
   • $$10$$
   • $$15$$
   • $$20$$

9. A right rectangular prism has a length of $$12$$ centimeters, a width of $$5$$ centimeters, and a height of $$7$$ centimeters. What is the surface area, in square centimeters, of the prism?

   • 358

10. Right rectangular prism $$M$$ is similar to right rectangular prism $$N$$. The surface area of prism $$M$$ is $$32$$ square centimeters, and the surface area of prism $$N$$ is $$288$$ square centimeters. The volume of prism $$N$$ is $$216$$ cubic centimeters. What is the sum of the volumes of prisms $$M$$ and $$N$$?

    • 224