Surface Area
Fill In The Blanks
Volumes
Perimeter & Area
Miscellaneous
100
What is the surface area of a rectangular prism with side lengths of a = 3 in., b = 2 in., and c = 4 in.?
S.A. = 2(a x b) + 2(a x c) + 2(b x c) = 2(6) + 2(12) + 2(8) = 12 + 24 + 16 = 52 in.^2
100
In a two-dimensional figure, (blank) is the distance around the outside of the figure, while (blank) is the number of square units in the figure.
What are perimeter and area?
100
What is the volume of a pyramid with a height of 10ft. and two bases of 8ft. and 12ft.?
Volume = (1/3)b x h = (1/3)(8)(12) x (10) = 32 x 10 = 320 ft.^3
100
What is the perimeter of a rectangle with base 2 ft. and height 5 ft.?
P = 2l + 2w = 2(5) + 2(2) = 10 + 4 = 14 ft.
100
Using the Pythagorean Theorem, find the hypotenuse length c of a right triangle when a = 6 and b = 8.
a^2 + b^2 = c^2 (6)^2 + (8)^2 = c^2 36 + 64 = c^2 100 = c^2 c = 10
200
What is the surface area of a rectangular prism with side lengths of a = 4 in., b = 7 in., and c = 6 in.?
S.A. = 2(a x b) + 2(a x c) + 2(b x c) = 2(28) + 2(24) + 2(42) = 56 + 48 + 84 = 188 in.^2
200
(Blank) is the longest side of a Right Triangle.
What is the hypotenuse?
200
What is the volume of a cylinder with a height of 6m and a radius of 6m?
Volume = (pi)(r^2) x Height = (pi)(6^2) x 6 = 36pi x 6 = 216pi = 678.2 m^3
200
What is the area of a parallelogram with base 16 m, side length 24 m, and height 13 m?
Area = B x H = 16 x 13 = 208 m^2
200
What is the area of a circle with a radius of 3.1 cm.?
Area = (pi)(r^2) = (pi)(3.1^2) = (pi)(9.61) = 30.175 cm.^2
300
What is the surface area of a cylinder that has a radius of 5 cm. and the sides have a height of 7 cm.?
S.A. = 2(pi)(r^2) + 2(pi)(r)(h) = 2(pi)(25) + 2(pi)(5)(7) = 50(pi) + 70(pi) = 120(pi) = 376.8 cm.^2
300
In a three-dimensional figure, a(n) (blank) is where two faces meet, and a(n) (blank) is where three or more edges meet.
What are edge and vertex?
300
What is the volume of a triangular prism with a length of 18ft., width of 13ft. and a height of 9ft.?
Volume = (1/2)x(Width)x(Length)x(Height) = (1/2)x(13)x(18)x(9) = 1053 ft^3
300
What is the perimeter of a parallelogram with base 16 m, side length 24 m, and height 13 m?
Perimeter = 2 x (Base) + 2 x (Side Length) = 2 x 16 + 2 x 24 = 32 + 48 = 80 m.
300
What is the area of a circle with a diameter of 3.1 cm.?
Area = (pi)(r^2) = (pi)(1.55^2) = (pi)(2.4025) = 7.544 cm.^2
400
What is the surface area of a rectangular prism with side lengths of a = 9 ft., b = 4., and c = 6 in.?
S.A. = 2(a x b) + 2(a x c) + 2(b x c) = 2(36) + 2(54) + 2(24) = 72 + 108 + 48 = 228 in.^2
400
In a circle, a (blank) is a line segment that passes through the center of a circle and whose endpoints lie on the circle. It is also double the length of the (blank).
What are diameter and radius?
400
What is the volume of a sphere with radius of 9 in.?
Volume = (4/3)(pi) x (r^3) = (4/3)(pi) x (9^3) = (4/3)(pi) x (729) = 972(pi) = 3052.1 in^3
400
What is the area of trapezoid DEFG with bases DE & FG? DE = 4.5 in. EF = 10.1 in. FG = 16.5 in. DG = 2.9 in. Height = 2.0 in.
Area = 1/2(DE + FG) x Height = 1/2(4.5 + 16.5) x 2.0 = 1/2(21) x 2.0 = 10.5 x 2.0 = 21 in.^2
400
Using the Pythagorean Theorem, find length a of a right triangle when b = 24 and the hypotenuse c = 26.
a^2 + b^2 = c^2 a^2 + (24)^2 = (26)^2 a^2 + 576 = 676 a^2 = 100 a = 10
500
What is the surface area of a cylinder with diameter 10 in. and a height of 9 in.?
S.A. = (pi)(r^2) + (pi)(r)(height) = (pi)(25) + (pi)(5)(9) = (25)(pi) + (45)(pi) = 70(pi) = 219.8 in^2
500
A(n) (blank) divides a sphere into two halves, or (blank).
What are great circle and hemispheres?
500
What is the volume of a sphere with diameter of 9 ft.?
Volume = (4/3)(pi) x (r^3) = (4/3)(pi) x (4.5^3) = (4/3)(pi) x (91.125) = 121.5(pi) = 381.51 ft^3
500
What is the circumference of a circle with a diameter of 1.2ft.?
C = 2(pi) x r = 2(pi) x (0.6) = 1.2(pi) = 3.8 ft
500
Using the Pythagorean Theorem, find length b of a right triangle when a = 9 and the hypotenuse c = 41.
a^2 + b^2 = c^2 (9)^2 + b^2 = (41)^2 81 + b^2 = 1681 b^2 = 1600 b = 40
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