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Unit 9 Practice Problems

Total questions: 16

Worksheet time: 54mins

Name
Class
Date
1.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
2.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

3.

A plane intersects a hexagonal prism. The plane is parallel to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism?

a)

triangle

b)

trapezoid

c)

hexagon

d)

rectangle

4.

Which 3D Figures make up the following composite solid.

a)

Cone

b)

Cylinder

c)

Pyramid

d)

Rectangular Prism

5.

Which 3D Figures make up the following composite solid. Check all that apply.

a)

Rectangular Prism

b)

Cylinder

c)

Pyramid

d)

Sphere

e)

Cone

6.
What is the difference between lateral area and total surface area?
a)
Total surface area includes 1 base instead of 2 bases like lateral does
b)
Lateral includes all the faces while total only includes the sides
c)
Total surface area includes the base(s) and all the faces while lateral does not include the base(s)
d)
Lateral just includes B, the area of the base while total does not
7.

Campbell Soup is creating a new soup label. Should they calculate the lateral area or surface area?

a)

Lateral Surface Area

b)

Total Surface Area

c)

Can't be Determine

d)

Not Enough Information is Given

8.
How much leather is needed to cover a basketball with a diameter of 14 inches?
a)

615.75 in2

b)

1436.76 in2

c)

2463.01 in2

d)

11,494.04 in2

9.
A teepee in the shape of a cone has a slant height of 18.5 feet and a diameter of 20 feet. Approximately how much canvas would be needed to cover the outside of the teepee?
a)

1162 sq ft

b)

370 sq ft

c)

895 sq ft

d)
581 sq ft
10.

A cylindrical carton of oatmeal has a diameter of 9 cm and is 20 cm tall.  Find the Volume. Use the π button in your calculation and round to the nearest tenth.

(a)  

11.
Kai ate an ice cream cone at the park last Thursday.The height of the cone was 7 centimeters.The diameter of the base is 4 centimeters.What would be the Volume of the cone?
a)

90.0

b)

117.3

c)

351.9

d)
29.3
12.

Find the volume of the empty space left inside the cylinder. Use the pi button in your calculation.

a)
261.8
b)
246.3
c)
321.4
d)
1245.5
13.

Rose bought a small tent for her pet rabbit. The tent is in the shape of a square pyramid, as shown. The base has a side length of 18 inches. The lateral faces have a slant height of 15 inches. What is the volume of the tent?

a)

324 in3

b)

405 in3

c)

1296 in3

d)

1620 in3

14.

Lea made two candles in the shape of right rectangular prisms. The first candle is 15 cm high, 8 cm long, and 8 cm wide. The second candle is 5 cm higher, but has the same length and width. How much additional wax is needed to make the taller candle?

a)

320 cm3

b)

640 cm3

c)

960 cm3

d)

1280 cm3

15.

Find the volume of a basketball with a diameter of 10 inches. Round to the nearest tenth.

a)

523.6 in3

b)

4188.8 in3

c)

92 in3

d)

2391.7 in3

16.

An oatmeal container has a diameter of 20 cm and can hold 1570 cubic centimeters of oatmeal. What is the height of the container of oatmeal?

a)
.397 cm
b)
12.49cm
c)
5 cm
d)
1,255.84 cm