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2 answers:
Answer:
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<u>1. 112</u>
<u>2. 46</u>
Step-by-step explanation:
1.
When two parallel lines are intersected by a transversal, the alternate interior angles are supplementary. Meaning that their angle measures add up to 180 degrees. Set up an equation and solve for the unknown angle using inverse operations.
2.
When two parallel lines are intersected by a transversal, the corresponding angles are congruent, in other words, they have the same angle measure.
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Answer:
Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.
Step-by-step explanation:
Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.
- A cuboid has 6 faces.
- A cuboid contains 8 vertices.
- A cuboid contains 12 edges .
- The total surface area of a cuboid is
= 2(length×breadth+breadth×height+length×height) square units
- The dimension of a cuboid is written as length×breadth×height.
- The volume is( length×breadth×height) cubic units
Given that the volume of the box is 192 cubic inches.
Let x inches be the width of the cuboid.
Since the length is twice as long as its width.
Then length = 2x inches
Again height is 2 inches longer than width.
Then height = (x+2) inches.
Therefore the volume of the cuboid is
cubic inches
cubic inches
cubic inches
According to the problem,
Therefore x=4
Since the all zeros of x²+6x+24 =0 is negative.
Therefore breadth = 4 inches
length=(2×4) inches=8 inches
and height = (4+2)inches = 6 inches.
Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.