Which rectangular prism will have the largest volume? l = 4 cm, w = 5 cm, h = 3 cm

h = 3 cm, l = 6 cm, w = 3 cm

w = 6 cm, h = 6 cm, l = 2 cm

w = 3 cm, l = 5 cm, h = 5 cm

I ND HAL

D. 75 cm³

Step-by-step explanation:

To find the volume of a rectangular prism, we use the formula V=lwh. All we have to do is find the volume of each answer choice and find the largest volume.

A.

V=4×5×3=60 cm³

B.

V=3×6×3=54 cm³

C.

V=6×6×2=72 cm³

D.

V=3×5×5=75 cm³

Looking at the answer choices, the largest volume is D. 75 cm³.

D. 75 is the required answer.

Step-by-step explanation:

Here,

Calculate the volumes of each prism. Choose the largest volume.

We use the formula

Volume of rectangular prism = l × w × h.

A. l = 4cm, w = 5cm , h = 3cm

Volume = 4cm × 5cm × 3cm = 60 cm³.

B. h = 3cm , l = 6cm, w = 3cm

Volume = 3cm × 6cm × 3cm = 54 cm³.

C. w = 6 cm, h = 6 cm, l = 2 cm

Volume = 6cm × 6cm × 2cm = 72 cm³.

D.w = 3 cm, l = 5 cm, h = 5 cm

Volume = 3cm × 5cm × 5cm = 75 cm³.

Hence, D. 75 is the required answer.

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

b

step-by-step explanation:

the word superfluous means unnecessary