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The volume of a box V is given by the formula V=lwh, where l is length, w Is width, and h is height.
A) Solve for H
B) what is the height of the box with a volume of 50 cubic maters, length of 10 meters, and width of 2 meters.

Respuesta :

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1)Original Equation: V=lwh
Divide by lw: V/w=lw/lw(h)
Answer: h= V/lw

2)Set up the equation as V=lwh
Substitute the variables for numbers: 50=10(2)h
Multiply 10*2: 50=20h
Divide 50each side by 20 to get rid of 20h: 50/20=20/20
H=2.5
The height of the box is 2.5 meters tall.

Answer:

A. [tex]h=\frac{V}{lw}[/tex]

B. 2.5 meters.

Step-by-step explanation:

We have been given that the volume of a box V is given by the formula [tex]V=lwh[/tex], where l is length, w Is width, and h is height.

(A). Let us solve for h using opposite operations.

[tex]V=lwh[/tex]

Switch sides:

[tex]lwh=V[/tex]

Upon dividing both sides by [tex]lw[/tex], we will get:

[tex]\frac{lwh}{lw}=\frac{V}{lw}[/tex]

[tex]h=\frac{V}{lw}[/tex]

Therefore, the value of h would [tex]\frac{V}{lw}[/tex].

(B). To find height of the box, we will substitute  [tex]V=50\text{ m}^3[/tex], [tex]l=10\text{ m}[/tex], and [tex]w=2\text{ m}[/tex].

[tex]h=\frac{50\text{ m}^3}{10\text{ m}\times 2\text{ m}}[/tex]

[tex]h=\frac{50\text{ m}^3}{20\text{ m}^2}[/tex]

[tex]h=\frac{5\text{ m}}{2}[/tex]

[tex]h=2.5\text{ m}[/tex]

Therefore, the height of box is 2.5 meters.

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