Volume of Prisms Answers

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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.

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.
8

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
11

A right square prism has a volume of 360 cubic units.Which could be the dimensions, in units, of the prism? Select three options.3 by 3 by 404 by 4 by 205 by 5 by 142.5 by 12 by 123.6 by 10 by 10

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
12

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

Question illustration
A
15x2
B
24x2
C
36x2
D
39x2
13

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
14

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
16

A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units.

Question illustration
A
192 cubic units
B
200 cubic units
C
384 cubic units
D
400 cubic units
17

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
20

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

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