The more you know
Volume of Prisms
Composite Figures
Formulas
Circles
100
Formula for Area of a trapezoid?
A=1/2h(b1 + b2)
100
What is the volume of a rectangular prism with a length of 8m, width of 4m, and a height of 6m?
192 cubic meters
100
What is the definition of a composite figure?
A figure made up of 2 or more shapes
100
Formula for Volume of a triangular prism
V= (length * width * height) / 2
100
The radius of a circle is 28cm. What is the circle's diameter?
56cm
200
At a local park, Sara can choose between two circular paths to walk. One path has a diameter of 120 yards, and the other has a radius of 45 yards. How much farther can Sara walk on the longer path than the shorter path if she walks around the path once?
Sara can walk 376.8 – 282.6 or about 94.2 yards further on the longer path.
200
What is the volume of a triangular prism with a length of 11ft, width of 8ft, and a height of 9ft?
396 cubic feet
200
Semicircle on top of a rectangle
Rectangle: length= 15m, width = 7m
Find the Area
about 193.3 square meters
200
Formula for Area of a semicircle?
A= (pi * r2) / 2
200
The radius of a circle is 12in. What is the area of the circle?
144pi in.
300
Find the area of a triangle with a base of 25 inches and a height of 30 inches.
375 square inches
300
What is the volume of a rectangular prism with a length of 12.5 cm, width of 4.5 cm, and a height of 4.2 cm? Round to the nearest tenth.
about 236.3 cubic centimeters
300
Semicircle on top of a trapezoid
Semicircle: radius= 3 yd
Trapezoid : base 2= 10yd, height = 8 yd
Find the Area
about 78.1 square yards
300
Formula for Area of a circle?
A = pi * r2
300
The radius of a circle is 16cm. What is the circle's circumference?
32pi cm
400
Area of a parallelogram base =98 ft height = 377 ft
36,946 square feet.
400
A rectangular box has demensions 13 in by 12 in by 8in. A Triangular box has dimensions 8in, by 9in, by 13 in. Which container holds more detergent?
The rectangular box
400
A composite figure is made from a rectangle and a quarter of a circle. The rectangle's length is 8ft and the circle's radius is 4ft. Find the approximate area and perimeter of the entire figure. Round to the nearest tenth.
A= about 44.6 square feet
Perimeter= about 30.3 feet
400
What value do we use for pi?
3.1416
400
The diameter of a circle is 14ft. What is the circle's area?
49pi ft
500
The diagram is made up of circles with the same center. The innermost circle has a diameter of 1 unit. Each circle moving outward has a diameter one more unit than the previous. Without calculating, how much longer is the circumference of each circle?
The circumference of a circle is equal to π times the diameter. If the diameters are increasing by only 1 unit, then the circumferences of each circle will be 1 times π, or about 3.1416, units longer.
500
The dimensions of an office are 32 ft, 25 ft, and 12 ft. It costs about $0.11 per year to air condition one cubic foot of space. On average, how much does it cost to air condition the office for one month?
$88
500
A composite figure is made from a square and a semicircle. The side length of the square in the figure is x units. Write expressions that represent the perimeter and area of the figure.
The perimeter of the figure is and the area is
or
500
Formula for Area of a quarter circle?
A=1/4(pi*r2)
500
The circumference of the circle at the center of a basketball court is 37.68 feet. Find the area of the circle at center court. Use 3.1416 for pi.
The area of the circle is about 113 square feet.