Circles
Composite Area and
Cross Sections
Cross Sections
Surface Area
Volume RP
Volume C,C,S
100
What are the two formulas for finding the circumference of a circle?
C = πd
C = 2πr
100
What is the shape of the cross section that is created when you slice a triangular prism parallel to its base?
Triangle
100
What is the Surface Area formula for any right prism?
S = 2B + Ph
(B = area of base, P = perimeter of base, h = height of prism)
100
True or False:
Volume measurements look like cm3, m3, in3,etc.
TRUE!!!
100
What is the formula for finding the volume of a cylinder?
V = πr2h
200
What is the formula for finding the area of a circle?
A = πr2
200
What is the cross section that is created when you slice a cylinder perpendicular to its base?
Rectangle
200
What is the surface area of a Rectangular Prism with the dimensions: length = 5m, width = 3m, height=10m?
S = 2B + Ph
S = 2(5x3) + [2(5) + 2(3)](10)
S = 2(15) + [16](10)
S = 30 + 160
SA = 190 m2
200
What is the volume of rectangular prism with the following dimensions: width = 6m, height = 8m, length = 13m?
V = Bh = width x length x height
V = 6 x 13 x 8
V = 624 m3
200
What is the formula for finding the volume of a sphere?
V = 4/3(πr3)
300
What is the circumference of a circle with a radius of 5m?
C = 2πr
C = 2(3.14)(5)
C = 31.4 m
300
What is the area of this composite figure?
A = Top Rectangle + Bottom Rectangle
A = (12x5)+(7x3)
A = 60 + 21
A = 81 cm2
300
What is the surface area of a cube with a side length 7m?
S = 6B OR S = 2B + Ph
S = 6(7 x 7). S = 2(7x7)+[7(4)](7)
S = 294 m2 S = 2(49) + 28(7)
S = 98 + 196
S = 294 m2
300
What is the volume of a pentagonal prism with base area of about 56.8 square cm, and a height of 10 cm?
V = Bh
V = (56.8)(10)
V = 568 cm3
300
What is the volume of a cylinder with a diameter of 6in and a height of 8in?
V = Pi r^2h
V = (3.14)(3^2)(8)
V = (3.14)(9)(8)
V = 226.08 in3
400
What is the area of a circle with a diameter of 8 in?
If d = 8 then r = 4
A = πr2
A = (3.14)(4)(4)
A = 50.24 in2
400
What is the area of this composite figure?
A = Big Rectangle - Small Rectangle
A = (9x11) - (2x3)
A = 99 - 6
A = 93 m2
400
What is the surface area of a cylinder with a radius = 2in and a height = 12in. (use π=3.14 and round to nearest tenth
S =2B + Ph
S =2(πr2) +(2πr)h
S = 2(3.14)(2x2)+2(3.14)(2)(12)
S = 25.12 + 150.72
S = 175.8in2
400
What is the volume of a triangular prism, with a base length of 5mm, base height of 6mm, and a prism height of 12mm?
V = Bh
V = (1/2 bh)h
V = [1/2(5)(6)](12)
V = 180 mm3
400
What is the volume of a cone with a radius of 10cm and a height of 18 cm?
V = 1/3(πr2h)
V = 1/3(3.14)(10x10)18
V = 1/3(3.14)(100)18
V = 6(314)
V = 1884 cm3
500
If the circumference of a circle is 62.8 mm. What is the area of the circle?
C = 2 Pi r
62.8 = 2(3.14)r
62.8 = 6.28r
10 = r
A = Pi r^2
A = (3.14)(10^2)
A = (3.14)(100)
A = 314 mm^2
500
What is the area of the pink composite figure?
Area = Semicircle + Rectangle
A = (0.5)Pi r^2 + lw
A = (0.5)(3.14)(6^2) + (12)(18)
A = (0.5)(3.14)(36) + 216
A = 56.52 + 216
A = 272.52 ft^2
500
What is the surface area of this pentagonal prism? The approximate area of the base is 110 square cm.
S = 2B + Ph
S = 2(110) + [8(5)]20
S = 220 + 800
S = 1020 cm2
500
What is the volume of the pentagonal prism if the base area is approximately 110 cm2?
V = Bh
V = (110)(20)
V = 2,200 cm3
500
What is the volume of a sphere with radius of 12 in.
V = 4/3(πr3)
V = [4(3.14)(12x12x12)]/3
V = [21703.68]/3
V = 7234.56 in3