All categories

3 years ago

The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 3. Calculate the volume of the box.

Mathematics

2 answers:

Tema [17]3 years ago

6 0

Answer:

The volume of the box would be 6x³+33x²+54x+27.

Step-by-step explanation:

The new dimensions of the box would be (x+3), (2x+3), and (3x+3). Since the volume of a rectangular prism are calculated by multiplying the length, width, and depth, we can just multiply all three of these dimensions together to come up with the answer.

Using foil on the first two terms originally you get (x+3)×(2x+3)= 2x²+3x+6x+9 which can be simplified to 2x²+9x+9.

Then you multiply this equation by (3x+3). (2x²+9x+9)×(3x+3)= 6x³+6x²+27x²+27x+27x+27 which can be simplified to 6x³+33x²+54x+27.

NISA [10]3 years ago

4 0

Answer:

6x³+33x²+54x+27

Step-by-step explanation:

dimensions are now:

x+3, 2x+3, 3x+3

Volume

V=lwh
V= (x+3)(2x+3)(3x+3)=
3(x+1)(x+3)(2x+3)=
3( x² + 4x+3)(2x+3)=
3(2x³+11x²+18x+9)=
6x³+33x²+54x+27

You might be interested in

Evaluatethe expression shown for m = 350. 3.5m

Sav [38]

Answer:

It is 1,225 or just 1225.

6 0

3 years ago

Read 2 more answers

Steve said it does not matter which term is first and which term is second in a ratio, since ratios are different than fractions

marishachu [46]

Ratio is a comparison of two values or two quantities.

Fraction is a another form of ratio.

The first term and the second term in the ratios are important.

It should not be changed.

The first quantity value is in first term and the second quantity value is in second term of the ratio.

Ratio and fractions are same.

Example:

The ratio of male to female in the school is 5 : 6.

5 represents male students and 6 represents female students.

The fraction form of the above ratio is $\frac{5}{6} .$

8 0

4 years ago

Lisa has three classes that each last 50 minutes what is the total number of minutes that the classes last

gulaghasi [49]

The Answer is B Because 50 x 3 = 150... Weird Pic thou

7 0

3 years ago

Read 2 more answers

Plz help me i'll give points and brainliest

RoseWind [281]

Step-by-step explanation:

-1,6 is -1 left 6 up

1,-6 is 1 right -6 down

6,-1 is 6 right -1 down

3 0

3 years ago

Parallelogram FGHJ was dilated and translated to form

Mrrafil [7]

Answer: The required scale factor of the dilation is 4.

Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

We are to find the scale factor of the dilation.

From the graph, we note that

JH = 2 units and J'H' = 8 units.

We know that

$\textup{Scale factor of dilation}=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the correponding side of the original figure}}.$

Therefore, the scale factor of the given dilation is

$S=\dfrac{J'H'}{JH}\\\\\\\Rightarrow S=\dfrac{8}{2}\\\\\Rightarrow S=4.$

Thus, the required scale factor of the dilation is 4.

3 0

4 years ago

Read 2 more answers