AnswersPre-Algebra BIntroduction to the Volume of a Sphere

Introduction to the Volume of a Sphere — Unit test Answers

5 verified answers1 views
2
Free Preview

Soon-Yi’s house has a hexagonal window made up of six identical equilateral triangles as pictured below.Which expression is equivalent to the area of one triangular section?

Question illustration
A
One-half times 7 times 8
Option A
B
One-half times 14 times 16
Option B
C
One-sixth times 14 times 16
Option C
D
One-half times 7 times 7
Option D
3

A cylinder and a cone are shown below.Which explains whether the bases of the cylinder and the cone have the same area?

Question illustration
A
The bases have the same area because the heights are the same.
B
The bases have the same area because the volume of the cone is the volume of the cylinder.
Option B
C
The bases do not have the same area because the volumes are not the same.
D
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
4

Joo-Eun wants to draw a triangle with sides measuring 6 mm, 8 mm, and 11 mm. Which is true about Joo-Eun’s plan?

A
Joo-Eun cannot draw a triangle with these side lengths.
B
Joo-Eun can only draw one unique triangle with these side lengths.
C
Joo-Eun can draw exactly two triangles with these side lengths.
D
Joo-Eun can draw more than one triangle with these side lengths.
6

What is the volume of the figure below, in cubic centimeters?

Question illustration
A
756
B
936
C
1,008
D
1,080
7

In the diagram, point C represents the center of the sphere. Diego says that the part of the sphere labeled D is the radius. Gregoire says that the part of the sphere labeled D is the diameter of the sphere.Who is correct and why?

Question illustration
A
Gregoire is correct; the diameter is a chord that passes through the center of the sphere.
B
Gregoire is correct; the diameter is a chord that is from the center to the surface of the sphere.
C
Diego is correct; the radius is a chord that passes through the center of the sphere.
D
Diego is correct; the radius is a chord that is from the center to the surface of the sphere.
9

Which expression can be used to find the area of the rectangle shown on the coordinate plane?

Question illustration
A
6 times 7
Option A
B
7 times 7
Option B
C
8 times 7
Option C
D
8 times 8
Option D
10

The solid below was created by connecting a rectangular prism and a square pyramid.What is the surface area of this solid?______________ square meters

Question illustration
A
101
B
107
C
116
D
131
11

Jeremy constructed this solid by combining two rectangular prisms and a square pyramid. What is the surface area of this figure? _____________ square meters

Question illustration
A
320
B
322
C
368
D
386
13

Which expressions can be used to compute the approximate area of triangle XYZ? Check all that apply.

Question illustration
A
One-half times 22 times 23.1
Option A
B
One-half times 15.9 times 23.1
Option B
C
One-half times 15.9 times 22
Option C
D
One-half times 22 times 31.9
Option D
E
One-half ties 15.9 times 31.9
Option E
F
One-half times 23.1 times 31.9
Option F
14

What are the possible dimensions of a rectangle with an area of 40 square units? Check all that apply.

A
Base: 8 unitsHeight: 5 units
B
Base: 8 unitsHeight: 6 units
C
Base: 4 unitsHeight: 10 units
D
Base: 4 unitsHeight: 8 units
E
Base: 20 unitsHeight: 2 units
F
Base: 2 unitsHeight: 40 units
15

Two isosceles triangular prisms were joined at their bases to form the composite solid shown. The width of base of both prisms is 6 units. What is the surface area of this composite solid?___________ square units

Question illustration
A
104
B
122
C
158
D
208

Did you find these answers helpful?

Introduction to the Volume of a Sphere — Unit…