Perimeter, Area & Volume 2 — Geometry & Measurement

Questions in this quiz (10)

1. A cube-shaped storage bin has side lengths of 6 feet. What is the volume of the storage bin?

   • $$36\text{ ft}^3$$
   • $$72\text{ ft}^3$$
   • $$180\text{ ft}^3$$
   • $$216\text{ ft}^3$$

2. Linda adds a water stabilizer to her children's swimming pool once a week. The instructions tell her to add one scoop of the product for every 20 cubic feet of water. The cylindrical pool has a diameter of 12 feet and a height of 3 feet. About how many scoops should she add per week? Use: $$\pi\approx3.14$$

   • $$3$$
   • $$6$$
   • $$17$$
   • $$36$$

3. A square-pyramid package has a base measuring 10 centimeters by 10 centimeters and a height of 15 centimeters. After testing the design, the manufacturer decides to increase both the length and width of the base by 4 centimeters. The height remains 15 centimeters. How many more cubic centimeters will the new package hold than the original package?

   • $$480$$
   • $$500$$
   • $$980$$
   • $$2,940$$

4. The height of a cone is twice the radius of its base. If the cone's height is 12 inches, what is the cone's volume to the nearest cubic inch? Use: $$\pi\approx3.14$$

   • $$151$$
   • $$452$$
   • $$904$$
   • $$1,357$$

5. A cone has a radius of 6 centimeters and a height of 10 centimeters. What is the approximate volume of the cone in cubic centimeters? Use: $$\pi\approx3.14$$

   • $$113$$
   • $$188$$
   • $$377$$
   • $$754$$

6. Find the surface area of a cube with side lengths of 5 inches.

   • $$25\text{ in}^2$$
   • $$100\text{ in}^2$$
   • $$125\text{ in}^2$$
   • $$150\text{ in}^2$$

7. A rectangular prism has a length of 9 meters, a width of 4 meters, and a height of 6 meters. What is the surface area of the prism?

   • $$180\text{ m}^2$$
   • $$228\text{ m}^2$$
   • $$256\text{ m}^2$$
   • $$276\text{ m}^2$$

8. What is the approximate surface area of a square pyramid with a slant height of 8 feet, a base perimeter of 20 feet, and a base area of 25 square feet?

   • $$80\text{ ft}^2$$
   • $$105\text{ ft}^2$$
   • $$185\text{ ft}^2$$
   • $$240\text{ ft}^2$$

9. Figure $$A$$ is a rectangular prism with dimensions: $$4\text{ cm},\ 3\text{ cm},\text{ and }2\text{ cm}$$ Figure $$B$$ is a square pyramid with a base measuring: $$3\text{ cm}\times3\text{ cm}$$ and a height of: $$6\text{ cm}$$ Which of the following is a true statement about the figures?

   • The volume of Figure A equals the volume of Figure B.
   • The volume of Figure B is greater than the volume of Figure A.
   • Both Figures A and B have a volume greater than 20 cubic centimeters.
   • The volume of Figure B is less than the volume of Figure A.

10. A cube has a surface area of 216 square centimeters. What is the length of each edge of the cube?

    • $$4\text{ cm}$$
    • $$6\text{ cm}$$
    • $$12\text{ cm}$$
    • $$36\text{ cm}$$