Area
If Michael has a rectangular backyard measuring 15 yds by 20 yds, what is the area of the backyard?
300 square yards
What is the volume in cubic cm of a cylinder with a diameter of 4 cm and a height of 6 cm?
Exact: 24๐
Approx: 75.4
After calculating the areas, if Michaelโs backyard is 300 square yards, and the hot tub is 78.54 square yards and the grill is 6 square yards, what is the remaining area of empty space in his backyard?
Approximately 215.46 square yards.
What is the surface area of a sphere with a radius of 7yd?
Exact: 196๐ yd2
Approx: 615.75 yd2
What formula is used to calculate population density?
Population Density = Total Population / Area
Find the area of a triangle with a base of 12m and a height of 5m.
30m2
What is the volume of a cone with a radius of 9cm and a height of 10cm?
Exact: 270๐ cm2
Approx: 848.23 cm2
A rectangular garden measures 10 meters in length and 6 meters in width. Inside the garden, there is a circular fountain with a radius of 2 meters.
Find the area of the garden that is not occupied by the fountain.
Approx: 47.43m2
What is the Lateral Area of a square pyramid with a slant height of 8m, and a side length of 10m?
LA= 260m2
What 3D object is formed by rotating a triangle around a line?
A cone.
If a circular hot tub has a diameter of 10 yds, what is the EXACT area?
Exact: 25๐ square yards
Approx: 78.54 square yards
If a cylinder has a volume of 63 cubic cm and a height of 7 cm, what is its diameter?
3.38 cm.
Find the total area of the rectangular garden and the semicircular section.
Approx. 52.57 m2
What is the surface area of a square prism with a side length of 20cm and a height of 26cm?
SA = 2880cm2
Calculate the population density of a county with a population of 17,936 and a land area of 1,475 square miles.
Approximately 12.14 people per square mile.
Find the area of the trapezoid with a height of 8 cm with bases of 15cm and 7cm respectively.
88 cm2
A soup can is a cylinder shape. The soup is 8 inches tall and has a volume of 226.19 cubic inches. What is the approximate diameter of the cake?
Diameter: 6 inches
What is the formula expression that can be used to find the Lateral Area of the observatory with a hemisphere on top of a cylinder, given the cylinder has a height of 8 m?
LA= 16๐r + 2๐r2
What is the surface area of a square pyramid with a side length of 12yd and a slant height of 21yd?
SA= 648yd2
If it costs $5 per square meter, and Natalieโs garden has an area of 50 square meters, how much would it cost to plant grass?
$250
If Emmanuel eats 1/8 of a pizza with a diameter of 16 inches, how many square inches does he consume?
25.13 square inches (Area of pizza = 201.06 sq in; 1/8 = 25.13 sq in)
What is the exact volume of the composite figure of the silo (cylinder + cone)? The diameter is 8ft, the and the height of the cone and the cylinder are both 6ft.
Exact: 128๐ ft2
Approx: 402.12 ft2
Mr. Cervantes is comparing the surface area of two cylinders, cylinder A and cylinder B. The radius and the height of cylinder B are 3 times more than the radius and the height of cylinder A. How many times greater is the surface area of cylinder B than the surface area of cylinder A?
The surface area of cylinder B is 18 times greater than the surface area of cylinder A.
What is the surface area of the composite 3D figure. (Do not include the bases of the figure)
(side length 14/ h=25/ slant height 13)
1764m2
A right circular cylinder, with a diameter of 30 m and a height of 20 m, is shown below.
Which of the following could not be a two-dimensional figure resulting from a plane intersecting the cylinder parallel or perpendicular to the base?
a. A circle with a diameter of 30 m.
b. A circle with a diameter of 20 m.
c. A rectangle with dimensions 25 m by 20 m.
d. A rectangle with dimensions 30 m by 20 m.