AnswersOC27 GEO-1206310-S2-Degele-VOL7006PThree-Dimensional Figures and Cross Sections

Volume of Pyramids Answers

0 verified answers2 views
1
Free Preview

The four diagonals of a cube are drawn to create 6 square pyramids with the same base and height. The volume of the cube is (b)(b)(b). The height of each pyramid is h.

Question illustration
A
(b)(b)(2h) or Bh.
Option A
B
(b)(b)(6h) or Bh.
Option B
C
(b)(b)(6h) or Bh.
Option C
D
(b)(b)(2h) or Bh.
Option D
2
Free Preview

A solid right pyramid has a square base with an edge length of x cm and a height of y cm.

Question illustration
A
xy cm3
Option A
B
x2y cm3
Option B
C
xy2 cm3
Option C
D
x2y cm3
Option D
3

A right pyramid with a square base has a base edge length of 24 feet and a slant height of 20 feet.

Question illustration
A
4 feet
B
8 feet
C
12 feet
D
16 feet
4

What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to the nearest tenth of a centimeter.

Question illustration
A
0.7 cm3
B
1.2 cm3
C
1.8 cm3
D
2.3 cm3
5

A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid.

Question illustration
A
24 cm3
B
48 cm3
C
128 cm3
D
144 cm3
6

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2.

Question illustration
A
12 cm3
Option A
B
16 cm3
Option B
C
24 cm3
Option C
D
32 cm3
Option D
7

The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm.

Question illustration
A
11 cm3
Option A
B
43 cm3
Option B
C
58 cm3
Option C
D
87 cm3
Option D
8

A solid oblique pyramid has a regular hexagonal base with an area of 54 cm2 and an edge length of 6 cm. Angle BAC measures 60°.

Question illustration
A
72 cm3
Option A
B
108 cm3
Option B
C
324 cm3
D
486 cm3
9

The oblique pyramid has a square base.

Question illustration
A
2.5 cm3
B
5 cm3
C
6 cm3
D
7.5 cm3
10

A solid oblique pyramid has a square base with an edge length of 2 cm. Angle BAC measures 45° and AC measures 3.6cm.

Question illustration
A
2.4 cm3
B
3.6 cm3
C
4.8 cm3
D
7.2 cm3
11

The volume of an oblique pyramid with a square base is V units3 and the height is h units.

Question illustration
A
units2
Option A
B
(3V – h) units2
C
(V – 3h) units2
D
units2
Option D
12

The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units.

Question illustration
A
StartFraction 3 V Over y squared EndFraction units
Option A
B
(3 V minus y squared) units
Option B
C
(V minus 3 y squared) units
Option C
D
StartFraction V Over 3 y squared EndFraction units
Option D
13

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches.

Question illustration
A
9 √ 2 in.
B
9 √ 3 in.
C
18 √ 2 in.
D
18 √ 3 in.
14

A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inches.

Question illustration
A
in.2
Option A
B
in.2
Option B
C
in.2
Option C
D
x2 in.2
15

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units.

Question illustration
A
7 units
B
7 units
Option B
C
14 units
D
14 units
Option D

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Three-Dimensional Figures and Cross Sections

Quiz
16 verified answers

Lesson 12.1: Three-Dimensional Figures and Cross Sections

Quiz
14 verified answers

Lesson 12.2: Volume of Prisms