Surface Area & Volume
What is the formula for the surface area of a cylinder?
2pirh+2pi22
A fair six-sided die is rolled, what is the probability of rolling a 4? There are 6 possible outcomes,
The probability if rolling a 4 is approximately 0.17 or 17%.
A triangle has lengths of 5, 12, 13, and is similar to lengths 10, 24. What is the other length to the corresponding angle?
The corresponding side length is 26.
A right triangle has a hypotenuse of 10 inches and one angle is 30°. What is the length of the opposite side of the 30° angle?
The length of the opposite side of the 30° angle is 5 inches.
What does it mean when for two figures to be congruent?
Two figures are congruent if they have the same shape and size.
Find the volume of a cube with the side length of 4cm. What is the volume of the cube?
64cm3
A coin is flipped. What is the probability of getting heads? There are 2 outcomes.
The probability of getting heads is 0.5 or 50%.
If rectangle ABCD=EFGH. If AB= 5, AD= 3, and EF= 10, what is EH?
EH= 6
A right triangle has the length of the adjacent side to an angle of 3 inches and the length of the hypotenuse is 5 inches. What is the cosine of the angle?
cos(3/5)
If two triangles are congruent, What can be said about their corresponding angles?
The corresponding angles are equal.
Find the volume of the cone with a radius of 3cm and a height of 7cm. What is the volume of the cone and rounded to the nearest whole number?
66cm3
A bag contains 4 red marbles and 2 green marbles. If a marble is randomly picked, what is the probability it is red?
The probability of getting a red marble is approximately 0.67 or 67%.
If triangle XYZ= triangle PQR, IF XY= 8, XZ= 10, and PQ= 12, what is PR?
PR= 15
A right triangle has an opposite side to an angle of 4 inches and the adjacent side is 3 inches. What is the tangent of the angle?
tan(4/3)
Are two triangles congruent if their corresponding sides are equal?
Yes, and it would be SSS
Find the volume of a sphere with a radius of 9cm. What is the volume of the sphere?
3053.63cm3
A bag contains 5 red marbles, 3 blue marbles, 2 green marbles. If two marbles are randomly selected without replacement, what is the probability that both marbles are red?
The probability of selecting two red marbles is approximately 0.22 or 22%.
Two similar triangles have a scale factor of 3:5, If the smaller triangle has a length side of 9, find corresponding side length of the large triangle.
The corresponding side length of the larger triangle is 15.
The right triangle has an angle of 45° and the length of the hypotenuse is 6 inches. What is the length of the side opposite the 45° angle?
4.24
What the minimum amount of information to prove two triangles are congruent?
You have to use the method of (SSS, SAS, ASA, AAS, or HL for right triangle.
Mia is building a tree-house with a rectangular prism shape. The length is 8 feet, width is 6 feet, and height is 5 feet. What is the surface area of the tree-house?
2(8x6)+2(8x5)+2(6x5)=236sq2
A deck of 52 cards is shuffled, and a card is randomly drawn. What is the probability that it is a heart?
The probability of drawing a heart is 0.25 or 25%.
Triangle ABC= triangle DEF. If AB= 7, BC= 8, AC= 10, and DE= 14, find the perimeter of DEF.
16+20+36 (EF= 16, DF= 20)
The right triangle has a sine angle that is 3/5. What is the cosine of the angle?
4/5
If triangle ABC is congruent to triangle DEF, and AB=5, BC=7, AC=9, What are the corresponding sides lengths of triangle DEF?
The corresponding sides lengths of the triangle of DEF are DE=5, EF=7, and DF=9.