AnswersOC27 GEO-1206310-S2-Degele-VOL7006PArea of Triangles and Parallelograms

Volume of Prisms Answers

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A right triangular prism is constructed so that its height is equal to the leg length of the base.

Question illustration
A
x3
Option A
B
x2 + x
Option B
C
2x3
D
2x2+ x
2
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An oblique prism is created using rhombuses with edge lengths of 25 units. The area of one rhombus is 600 square units. The perpendicular distance between the bases is 24 units.What is the volume of the prism?

A
14,400 cubic units
B
15,000 cubic units
C
29,400 cubic units
D
36,000 cubic units
3

The oblique prism below has an isosceles right triangle base.

Question illustration
A
x3 + x2
Option A
B
x3 + x2
Option B
C
x3 + x2
D
x3 + 3x2
4

A right triangular prism is shown.

Question illustration
A
900 cubic units
B
1,020 cubic units
C
1,800 cubic units
D
2,312 cubic units
5

An oblique rectangular prism with a square base has a volume of 539 cubic units. The edges of the prism measure 7 by 7 by 14 units.How many units longer is the slanted edge length of the prism, 14, compared to its perpendicular height?

A
1 unit
B
2 units
C
3 units
D
4 units
6

A right square prism has a volume of 360 cubic units.Which could be the dimensions, in units, of the prism? Select three options.

A
3 by 3 by 40
B
4 by 4 by 20
C
5 by 5 by 14
D
2.5 by 12 by 12
E
3.6 by 10 by 10
7

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.

Question illustration
A
1,040 cubic units
B
1,360 cubic units
C
1,950 cubic units
D
2,210 cubic units
8

The right pentagonal prism has a height of of 14 units.

Question illustration
A
12 units
B
15 units
C
21 units
D
30 units
9

A right rectangular prism is shown. The base rectangle has side lengths of 10 centimeters and 3 centimeters. The height of the prism is 8 centimeters.

Question illustration
A
21 cm3
B
42 cm3
C
120 cm3
D
240 cm3
10

An oblique prism has a base area of 3x2 square units.

Question illustration
A
15x2
B
24x2
C
36x2
D
39x2
11

The height of a right rectangular prism is three times the width of the base. The length of the base is twice the width.

Question illustration
A
5w2 cubic units
B
6w2 cubic units
C
5w3 cubic units
D
6w3 cubic units
12

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.

Question illustration
A
9x2 + 7x
B
14x2 + 7x
C
16x2 + 14x
D
28x2 + 14x
13

A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters.Which statements describe the prism? Select three options.The prism is a cube.The diagonal of the base is 4 centimeters.The length of a side of the base is 20 centimeters.The area of a base is 40 square centimeters.The area of a lateral side between the bases is about 126.5 square centimeters.

Question illustration
A
The prism is a cube.
B
The diagonal of the base is 4 centimeters.
Option B
C
The length of a side of the base is 20 centimeters.
D
The area of a base is 40 square centimeters.
E
The area of a lateral side between the bases is about 126.5 square centimeters.
14

An oblique candle with a volume of 270 cubic centimeters is 18 centimeters tall. The width of the triangular candle base is 5 centimeters, and the width of the slanted candle is 7 centimeters.

Question illustration
A
5 cm by 6 cm by 18 cm
B
7 cm by 6 cm by 18 cm
C
5 cm by 3 cm by 18 cm
D
7 cm by 3 cm by 18 cm

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