The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
<h3>
What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
We have a triangular prism shown in the picture with dimensions.
As we know, the volume of the triangular prism is given by:
V = bhl/2
h = √[2²- (2/2)²]
h = √(4-1)
h = √3 units
V = (2×√3×5)/2
V = 5√3 cubic units
Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
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The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35
<h3>How to simplify the expression?</h3>
The expression is given as:
(-11/2x+30)-2(-11/4x-5/2)
Expand the bracket
-11/2x + 30 + 11/2x + 5
Collect the like terms
11/2x -11/2x + 30 + 5
Evaluate the like terms
35
Hence, the simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35
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3a- 2b + 8b - 2 + 6a + 3c
3a + 6a -2b +8b + 3c - 2
9a + 6b + 3c - 2
The coefficient 7 means that the length is 7 times the width
<h3>How to interpret the coefficient?</h3>
The given parameters are:
Width = x
Length = 7x
Area = 7x^2
We have:
Length = 7x
Substitute Width = x in Length = 7x
Length = 7 * Width
This means that the length is 7 times the width
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