The volume of the box is 105 cubic units.
<h3>What is volume of cuboid ?</h3>
The amount of space inside a cuboid is calculated using the term "cuboid volume." Having length, breadth, and height, the cuboid is a three-dimensional shape. A shape with a certain length, breadth, and height will be obtained if we start with a rectangular sheet and keep stacking them. Length x Width x Height is the formula for calculating the cuboid's volume.
Given that : The dimensions of her boxes to be 4 x 6 x 3 units.
The volume of cuboid=7×5×3=105 cubic units.
so ,The volume of the box is 105 cubic units.
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We are given the expression,
54x+81
Here we have to find Greatest Common Factor of 54 and 81
Factors of 54 are 1, 2, 3, 6, 9, 18 and 27.
Factors of 81 are 1, 3, 9, 27 and 81.
Greatest common factor of 54 and 81 is 27.
So we take out 27 common, rewriting the expression
27(2x+3)
Answer: 54x+81 in factored form equals 27(2x+3).
Answer:
c = 8
Step-by-step explanation:
Use synthetic division here; it's the fastest approach.
Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:
-2 4 c 1 2
-8 (-2c+ 16) (4c-34)
---------------------------------------------
4 (c - 8) (-2c + 17) 4c - 32
The remainder, 4c - 32, must equal zero if (x + 2) is a factor.
Then 4c - 32 = 0, and c = 8
Answer:
21
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The area of the rectangle is 84 inches :)