Unit 3 - Post Test Review

Which of these statements is correct?

• A

• B

• C

• D

Tags

CCSS.8.EE.A.2

What is the distance between points (8, 3) and (3, 1) on the coordinate plane?

• 3 units

• 7 units

Tags

CCSS.HSG.GPE.B.7

Which of the following three sets of lengths could be used to form a right triangle?

• 39, 15, and 36

• 12, 8, and 4

• 13, 17 and 9

• none of these

Tags

CCSS.8.G.B.8

Find the slant height of the cone. Round to the nearest tenth.

• 20.0

• 10.0

• 14.4

• 8.9

A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Explain.

• None of the listed answers choices are correct

Tags

CCSS.5.MD.C.5C

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 3 inches

• 6 inches

• 9 inches

• 12 inches

Answer explanation

Volume of a sphere is found using the formula V = 4 3 πr 3 , where r is the radius of the sphere. Plugging in the value for V allows r to be solved: 36π = 4 3 πr 3 , 3 4 36π = 3 4 4 3 πr 3 , 27π = πr 3 , 27 = r 3, 3 = r.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Darmy usually purchases a small can of tomato sauce as shown below. At a grocery store, she sees a can of tomato sauce that has a radius and height that are twice that of the small can. The volume of this large can is equal to the volume of how many of the small cans?

• 2

• 4

• 8

• 16

Answer explanation

The volume of a small can is π (3)2(10) = 90 π cm3. For the large can, r = 2(3) = 6 and h = 2(10) = 20, making its volume π (6)2(20) = 720π cm3. Since 8(90) = 720, one large can is equal in volume to the sum of the volumes of 8 small cans

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Assume a and b are legs of a right triangle and c is the hypotenuse. Solve for the missing length using the Pythagorean Theorem.

a = 5, b = 7, c = _____

• c = 74

• c = 37

Tags

CCSS.8.G.B.8

• 15

• 30

Tags

CCSS.8.G.B.8