Area and Volume: 700163RR (pennfoster exam answers)

Using the Pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long. A. 12.81 ft. B. 36 ft. C. 41 ft. D. 6 ft.

. D. 6 ft.

What's the volume of a cube-shaped box with edges 6 centimeters in length? A. 216 cm³ B. 18 cm³ C. 36 cm³ D. 1,296 cm³

A. 216 cm³

If the area of a circle is 58 square feet, find the circumference. A. 26.99 ft. B. 42.5 ft. C. 22.35 ft. D. 4.25 ft.

A. 26.99 ft.

In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inches high. How much greater is the volume of the cube-shaped box than the rectangular box? A. 56 cubic inches B. 66 cubic inches C. 60 cubic inches D. 50 cubic inches

A. 56 cubic inches

Find the circumference of a circle if the area is 300 square centimeters. A. 61.38 cm B. 9.77 cm C. 56.25 cm D. 84.74 cm

A. 61.38 cm

Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches. A. 6,280 cu. in. B. 1,570 cu. in. C. 62.8 cu. in. D. 705 cu. in.

B. 1,570 cu. in.

Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of the pipe?. O A. 289 feet O B. 17 feet O C. 120 feet O D. 23 feet

B. 17 feet

Store space in a shopping mall is often rented by the square foot. What's the area of a rectangular jewelry store that is 12 feet wide and 18 feet long? O A. 288 square feet O B. 216 square feet O C. 68 square feet O D. 576 square feet

B. 216 square feet

An earthquake was felt throughout a circular area of 1,808.64 square miles. What was the radius of the circular area? O A. 12 miles O B. 24 miles O C. 576 miles O D. 20 miles

B. 24 miles

The area of a gymnasium floor is 264 square yards. The floor is 11 yards wide. How long is the floor? A. 11 yards B. 24 yards C. 242 yards D. 253 yards

B. 24 yards

What is the radius of a circle with an area of 32.1 square feet? A. 5.23 ft. B. 3.20 ft. C. 10.22 ft. D. 4.75 ft.

B. 3.20 ft.

Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of .) A. 12 meters B. 75.3984 meters C. 37.6992 meters D. 24 meters

B. 75.3984

What's the correct name of the quadrilateral below? A. Triangle B. Parallelogram C. Rectangle D. Square

B. Parallelogram (looks like a diamond or rectangle tilted sideways)

If a triangle has a height of 12 inches and a base of 5 inches, what's its area? A. 45 sq. in. B. 30 sq. in. C. 60 sq. in. D. 90 sq. in.

B.30 sq.in

What is the correct name for the triangle below? A. Scalene triangle B. Isosceles triangle C. Equilateral triangle D. Right triangle

D. Right triangle (has a box on corner)

A/an _______ triangle has all three angles measuring less than 90 . A. obtuse B. scalene C. right D. acute

D. acute

What's the length of side b in the figure below (7,13,b) A. 91 cm B. 6 cm C. 218 cm D. 120 cm

D. square root 120 centimeters

The distance from the center of a compact disc to the edge of the disc is 6 centimeters. What's the area of the compact disc? . A. 36 square centimeters B. 18.84 square centimeters C. 452.16 square centimeters D.113.04 square centimeters

D.113.04 square centimeters

The area of a square piece of cardboard is 81 square inches. What is the length of the cardboard? A. 20.25 inches B. 10 inches C. 8 inches D. 9 inches

D. 9 inches

The diameter of a Frisbee is 12 inches. What's the area of the Frisbee? O A. 18.84 sq. in. O B. 37.68 sq. in. O C. 113.04 sq. in. O D. 452.16 sq. in.

C. 113.04 sq. in.

Solve for x in the diagram. (9,12,x) A. 37 B. 14 C. 15 D. 25

C. 15

Sheri's freezer is 2 feet wide, 6 feet long, and 2 feet deep. What's the volume of her freezer? A. 10 cubic feet B. 4 cubic feet C. 24 cubic feet D. 12 cubic feet

C. 24 cubic

What's the area of an equilateral triangle with sides of 10 inches and height of 7 inches? O A. 20 sq. in. O B. 44 sq. in. O C. 35 sq. in. O D. 70 sq. in.

C. 35 sq. in.

The diameter of a round dinner plate is 10 inches. What's the area of the plate? O A. 39.25 inches O B. 314 square inches O C. 78.5 square inches O D. 39.25 square inches

C. 78.5 square inches

A triangle with all sides of equal length is a/an _______ triangle. A. right B. scalene C. equilateral D. isosceles

C. equilateral

What's the area of the triangle below? ( 8 m , 6m) O A. 7 square meters O B. 96 square meters O C. 48 square meters O D. 24 square meters

D. 24 square meters

If a triangle has a height of 14 inches and a base of 9 inches, what's its area? O A. 135 square inches O B. 46 square inches O C. 126 square inches O D. 63 square inches

D. 63 square inches

If the area of a square is 64 square centimeters, what's the length of one side? A. 4 cm B. 32 cm C. 16 cm D. 8 cm

D. 8 cm