WorksheetsAssignment 5.1 - Pyramids and Cones
Total questions: 18
Worksheet time: 3hrs 33mins
Name
Class
Date
1.
Find the Surface Area
a)
15m2
b)
16m2
c)
18m2
d)
20m2
2.
A pyramid has a square base. Each side of the base is 9 cm. The slant height of each triangle is 14 cm. What is the surface area?
a)
126 cm2
b)
144 cm2
c)
252 cm2
d)
333 cm2
3.
What is the volume of the following triangular pyramid?
a)
3400 cubic in
b)
566.67 cubic in
c)
1133.33 cubic in
d)
1700 cubic in
4.
What is the volume of the following rectangular pyramid?
a)
990 cubic inches
b)
495 cubic inches
c)
660 cubic inches
d)
330 cubic inches
5.
What is the volume of the following rectangular pyramid?
a)
8085 cubic meters
b)
5390 cubic meters
c)
16170 cubic meters
d)
10780 cubic meters
6.
A sign made of solid wood is in the shape of a pyramid. The base is a triangle with a base of 6 feet and a height of 4 feet. The height of the sign
is 7 feet. The wood costs $3 per cubic foot. What is the cost of the sign?
is 7 feet. The wood costs $3 per cubic foot. What is the cost of the sign?
a)
$168
b)
$56
c)
$84
d)
$28
7.
A triangular pyramid has a base with an area of 9cm2. Each lateral face has a base of 5cm and a height of 4cm. Find the total surface area.
a)
29cm2
b)
69cm2
c)
40cm2
d)
39cm2
8.
Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.
a)
152.6 cm²; 187.7 cm²
b)
212 ft²; 322 ft²
c)
219.6 in²; 313.2 in²
d)
50.4 in²; 66.4 in²
9.
Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.
a)
219.6 in²; 313.2 in²
b)
50.4 in²; 66.4 in²
c)
152.6 cm²; 187.7 cm²
d)
212 ft²; 322 ft²
10.
Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.
a)
212 ft²; 322 ft²
b)
152.6 cm²; 187.7 cm²
c)
219.6 in²; 313.2 in²
d)
50.4 in²; 66.4 in²
11.
What is the formula for Volume of a Cone?
a)
V=π r3h
b)
V=π r2h
c)
V=(1/3)π r2h
d)
V=(4/3)π r3
12.
V = ?
a)
14.13 in3
b)
56.52 in3
c)
169.56 in3
13.
Find the volume of the figure.
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
14.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
15.
a)
400
b)
1200
c)
3600
d)
324
16.
A paper party hat, like the one shown, has a slant height of 6 inches and a radius of 5 inches. How many square inches of cardboard would be needed to create this hat?
a)
94.25 in.2
b)
172.79 in.2
c)
50 in.2
d)
22.5 in.2
17.
What is the shape of the base of a cone?
a)
Rectangle
b)
Triangle
c)
Square
d)
Circle
18.
Find the surface area of the cone. Round your answers to the nearest tenth.
a)
282.7 in3
b)
314.2 in3
c)
309.2 in3
d)
267.4 in3
100 %
