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Math 7 :: Volume & SA of Solids - Cylinders/Pyramids/Cones

Total questions: 18

Worksheet time: 5hrs 30mins

Name
Class
Date
1.

Hormel Chili is headquartered in Austin, Minnesota. A can of chili has a diameter of 3 inches and a height of 4.4 inches. Find the volume of the 15 ounce can.

a)

25 square inches

b)

31.1 cubic inches

c)

55.6 square inches

d)

101.2 cubic inches

2.

A cylindrical carton of oatmeal has a diameter of 12.5 cm and is 30 cm tall. Find the volume.

a)

12742.3 cubic cm

b)

3185.6 cubic cm

c)

2679.7 cubic cm

d)

3679.7 cubic cm

3.
Which has a greater volume?
Cylinder A.  r = 3 m, h = 1.2 m
Cylinder B. d = 4 m, h = 2.5 m
a)
Cylinder B
b)
They are the same
c)
Cylinder A
4.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
5.
Find the volume of the figure. Round to the nearest tenth.
a)
128.6 units³
b)
1,286.1 units³
c)
401.9 units³
d)
5,144.6 units³
6.
What is the total surface area of the cylinder to the nearest square inch
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
7.
What is the surface area of this triangular pyramid?
a)
198.9 sq. inches
b)
205.6 sq. inches
c)
187.9 sq. inches
d)
210.6 sq. inches
8.
A square pyramid is covered with decorative wrapping paper with no overlap.  The net of the box is shown on the right.  How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 
a)
108 cm2
b)
324 cm2
c)
180 cm2
d)
432 cm2
9.

Macaella found the surface area of her cone (and then promptly filled it with ice cream and ate it!) If her cone has a radius of 1 inch and a height of 4.5 inches, what is the surface area of the cone? (Don't forget, the cone is open ended!)

a)

7.25 cubic inches

b)

14.1 cubic inches

c)

26.26 square inches

d)

38.5 cubic inches

10.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
11.

Phil the dog, also known as Corgi Cop, created an unreasonably large traffic cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this ludicrous cone.

a)

50.24 ft3

b)

150.72 ft3

c)

not here

d)

192.65 ft3

12.

Find the volume of the cone. Use pi=3.14. Round to the nearest hundredth.

a)

718.01km3

b)

2872.05km3

c)

718km

d)

718.39km2

13.

The trailer on the back of this semi-truck is 48' long by 8.5' wide by 8.5' tall. How much stuff can the trucker haul?

a)

3468 cubic feet of stuff.

b)

1088 cubic feet of stuff.

c)

9264 cubic feet of stuff.

d)

5264 cubic feet of stuff.

14.

Cheesecake is incredible. If you ever eat at Manny's, get the cheesecake. You won't be disappointed. What shape is this piece of cheesecake most similar to...

a)

A pyramid.

b)

A triangular prism.

c)

A cone.

d)

A triangular pyramid.

15.

This question is about "composite shapes". To get the volume of these pencils...

a)

Get the volume of a cone and add the volume of the hexagonal prism.

b)

Get the surface area of all shapes and divide by two.

c)

Get the volume of a pyramid and add the volume of a

d)

Get the volume of a triangular prism and add the volume of a cylinder.

16.

Cheese is delicious, all kinds. If the base area of this hunk of Swiss is 34 cm2, and the cheese is 6 cm high, what is the volume?

a)

204 cm2

b)

204 cm3

c)

196 cm2

d)

196 cm3

17.

The Blake golf teams are selling Pringles Chips to raise money for new equipment. Each container of delicious chips has a diameter of 8 centimeters and a height of 30 centimeters.


Which equation can be used to find the volume of the container?

a)

V = π(8)

b)

V = π(4)2(30)

c)

V = π(8)2(30)

d)

V = π(4)(30)

18.

Finn measured the surface area of his water bottle. The surface area for the water bottle is 89.5 square inches (he included the top). The diameter of the bottle is 3 inches. About how tall is the water bottle?

a)

8 inches

b)

6 inches

c)

14 inches

d)

11 inches