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

A bear walks one mile south, then one mile east, then one mile north, and ends up right Back where it started. What Color is the

Levart [38]

Answer:

uhh... I think it’s uh carrot

Step-by-step explanation:

4 0

3 years ago

Help please.

Bumek [7]

Answer:

20 cm² & 80 cm²

Step-by-step explanation:

Ratio of areas = (ratio of sides)²

Ratio of sides: 2/4 = ½

Ratio of areas: (½)² = ¼

Areas are:

⅕(100) = 20

⅘(100) = 80

4 0

3 years ago

A school bus has 25 seats, with 5 rows of 5 szt. 15 students from the first grade and 5 students from the second grade travel in

erik [133]

Technically only 1...

If you have to use 4 rows there is only one option;
1 1 1 2
1 1 2 1
1 2 1 1
2 1 1 1

Each number represents the total kids in a row.
1st number is row 1 second number is row 2 etc.

If you can use 2 or 3 rows there are some more answers.

7 0

3 years ago

show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this

VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R

8 0

3 years ago

Dddddddddddddddddddddddd

Ierofanga [76]

Answer:

dddddddddddddddddddddddd could be rewritten as d^24 because d*d*d*d*d*d*d... = d^24

Step-by-step explanation:

When we multiply all of the d's together we get $d^{24}$ .

4 0

4 years ago

Read 2 more answers