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2 years ago

A 3-dimensional shape is made of 36 unit cubes, without any gaps. What is the volume of the shape?

Mathematics

1 answer:

fomenos2 years ago

7 0

Answer:

36 unit

Step-by-step explanation:

The number of unit cubes in the shape = 36 unit cubes

The dimension (volume) of each cubes = 1 unit³

The type of shape = 3-dimensional

The arrangement of the cubes in the shape = Without gaps

The volume of a 3-dimensional shape made of a number of unit cubes without gaps is equal to the sum of the unit cubes

Therefore;

The volume of the 3-dimensional shape that consists of 36 unit cube, V = (1 + 1 + 1 +...+ 1) unit³ = 36 unit³

The volume of the 3-dimensional shap³e, V = 36 unit³

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Answer:

522 miles

Step-by-step explanation:

174 x 4 = 522

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3 years ago

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Law Incorporation [45]

Answer:

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Step-by-step explanation:

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3 years ago

Which equation demonstrates the additive identity property?

Alik [6]

Answer:

The second one

Step-by-step explanation:

Additive identity is adding 0 to a number

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2 years ago

application. Line segment AB is a translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line

Svetllana [295]

Solid transformation is a method that requires a change in the length of sides of a given shape or a change in its orientation. Thus the required answers are:

i. Yes, line segment AB is the same as line segment CD.

ii. This implies that translation does not affect the length of a given line, but there is a change in its location.

Solid transformation is a method that requires a change in the length of sides of a given shape or a change in its orientation. Some types of transformation are reflection, translation, dilation, and rotation.

Dilation is a method that requires either increasing or decreasing the size of a given shape.
Translation is a process that involves moving every point on the shape in the same direction, and the same unit.
Reflection is a method that requires flipping a given shape over a given reference point or line.
Rotation requires turning a given shape at an angle about a given reference point.

Thus in the given question, translation would not affect the length of line segment AB, thus line segment AB and CD are the same. Also, A translated line segment would have the same length as its object, but at another location.

For more clarifications on translation of a plane shape, visit: brainly.com/question/21185707

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2 years ago

Solve the equation. Check for extraneous solutions please help!!!

lozanna [386]

!z!=a→z=a or z=-a; z=4x+3, a=9+2x

!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3

Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution

2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2

Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution

Answer:
x = -2 or 3

4 0

3 years ago