Perimeter, Area & Volume 3 — Geometry & Measurement

Questions in this quiz (9)

1. A five-sided figure has a left side of 5 centimeters, a top side of 5 centimeters, a right vertical side of 2 centimeters, and a bottom side of 7 centimeters. The remaining side is diagonal. What is the area of the figure in square centimeters?

   • 28

2. A family room has an L-shaped floor plan. The top side measures 18 feet, the right vertical side measures 8 feet, the inner vertical side measures 4 feet, and the lower-left horizontal side measures 10 feet. What is the perimeter of the room?

   • $$45\text{ ft}$$
   • $$50\text{ ft}$$
   • $$60\text{ ft}$$
   • $$75\text{ ft}$$

3. A composite solid consists of a rectangular prism with a cylinder on top. The rectangular prism measures $$11\text{ units}\times11\text{ units}\times2\text{ units}$$. The cylinder has a diameter of 10 units and a height of 2 units. Find the volume of the figure to the nearest cubic unit.

   • 399

4. A structure consists of a rectangular base and four identical corner blocks. The rectangular base measures $$12\text{ ft}\times8\text{ ft}\times3\text{ ft}$$. Each corner block measures $$3\text{ ft}\times3\text{ ft}\times2\text{ ft}$$. What is the total volume of the structure in cubic feet?

   • $$72$$
   • $$168$$
   • $$288$$
   • $$360$$

5. A candy package is shaped like a cylinder with an identical cone on each end. The complete package is 16 inches long, and the cylindrical section is 8 inches long. The radius of the cylinder and each cone is 2 inches. What is the capacity of the container to the nearest cubic inch?

   • $$33$$
   • $$100$$
   • $$134$$
   • $$201$$

6. An ice cream treat consists of a cone and a spherical scoop. Exactly one-half of the spherical scoop is visible above the rim of the cone. The radius of the scoop and cone is 3 units, and the slant height of the cone is 10 units. What is the exterior surface area of the entire ice cream treat, in square units?

   • $$34\pi$$
   • $$48\pi$$
   • $$64\pi$$
   • $$72\pi$$

7. A toy factory paints each rubber ball with 2 coats of latex. A rubber ball has a circumference of: $$16\pi\text{ cm}$$ How many square centimeters of latex are needed to apply both coats?

   • $$64\pi$$
   • $$128\pi$$
   • $$256\pi$$
   • $$512\pi$$

8. The radius of Sphere $$A$$ is 2 units, and the radius of Sphere $$B$$ is 1 unit. What is the ratio of the volume of Sphere $$A$$ to the volume of Sphere $$B$$?

   • $$1:2$$
   • $$4:1$$
   • $$8:1$$
   • $$8:3$$

9. Three identical rectangular boxes are stacked on top of one another. The total height of all three boxes is the same as the width of one box. The length of each box is 18 inches, and the width is half the length. What is the combined volume, in cubic inches, of all three boxes?

   • $$1458$$
   • $$1800$$
   • $$2124$$