Triangles
Which set of angle measurements could be the three interior angles that form a triangle?
A.) 22 degrees, 61 degrees, 97 degrees
B.) 45 degrees, 45 degrees, 60 degrees
C.) 39 degrees, 42 degrees, 37 degrees
D.) 60 degrees, 110 degrees, 30 degrees
A.) 22 degrees, 61 degrees, 97 degrees
Square
A circular table has a radius of 18 inches. Approximately, what is the circumference of the table? (Use 3.14 for pi.)
113.04 inches
Two angles are supplementary. One angle is (2x - 1) the other is 59 degrees. What is the value of x?
61
A box of cereal has the dimensions of 16 cm, 10 cm, and 5 cm. What is the surface area of the box?
580 cm2
Which of the following could be the lengths of the three sides of a triangle?
A.) 1 cm, 2 cm, 3 cm
B.) 3 in, 3 in, 7 in
C.) 4 ft, 8 ft, 12 ft
D.) 5 cm, 7 cm, 9 cm
D.) 5 cm, 7 cm, 9 cm
A plane intersects a cube, passing through two opposite sides of the cube and remaining parallel one adjacent side. Which shape will be formed?
A.) Square
B.) Triangle
C.) Parabola
D.) Trapezoid
A.) Square
Max is making a cake using a pan that has a diameter of 11 inches. What is the approximate circumference of the pan? (Use 3.14 for pi.)
34.54 inches
Two angles are vertical. One angle is (7x - 21) and the other is (-5x + 75). What is the measurement of the first angle?
35 degrees
A box has the dimensions of 3 cm, 8 cm, and 14 cm. What is the volume of the box?
336 cm3
A triangle has side lengths of 15 millimeters and 14 millimeters that form an angle with a measure of 100 degrees. Draw the triangle described.
A square pyramid is sliced vertically from the top vertex to the center of the base.
Which shape BEST represents the cross section that will result?
A.) parallelogram
B.) trapezoid
C.) triangle
D.) square
C.) triangle
The radius of the circle is 8 inches. What is its circumference? (Use 3.14 for pi.)
50.24 inches
Two adjacent angles form a 132 degree angle. One of the angles is 64 degrees. What is the measurement of the other angle?
A cylinder has a radius of 12 inches and height of 16 inches. What is the surface area of the cylinder?
2110.08 inches3
A triangle has two angles with measures of 118 and 18 degrees. The side across from the 18 degree angle has a length of 8 millimeters. Draw the triangle described.
A cone is cut perpendicular to its base. What shape is formed?
Triangle
The diameter of a circle is 8 cm. What is the area of the circle? (Use 3.14 for pi.)
50.24 cm2
Two angles are vertical. One angle is (7x - 21) and the other is (-5x + 75). What is the measurement of the first angle?
35 degrees
A triangular prism has the dimensions listed below. Find the volume.
b = 12 inches
h = 12 inches
H = 19 inches
1368 inches3
A triangle has two angles with measures 30 and 10 degrees. The two angles are joined by a shared side with a length of 20 centimeters. Draw the triangle described.
A cylinder is sliced diagonally all the way through to the other side. What shape is formed?
The circumference of a circle is 21.98 inches. What is the radius of the circle?
3.5 inches
Two angles are supplementary. One angle is (7x - 46) and the other is (3x + 6). What are the measurements of both the angles?
72 degrees
108 degrees
A rectangular prism has the dimensions of 12 cm, 13 cm, and 14 cm. A cylinder has a radius of 8 cm and a height of 13 cm. What is the difference of their volumes?
RP: 2184 cm3
Cyl: 2612.48cm3
DIFFERENCE: 428.48cm3