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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.

User Suter
by
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1 Answer

2 votes

Answer:

A.
h=(V)/(lw)

B. 2.5 meters.

Explanation:

We have been given that 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). Let us solve for h using opposite operations.


V=lwh

Switch sides:


lwh=V

Upon dividing both sides by
lw, we will get:


(lwh)/(lw)=(V)/(lw)


h=(V)/(lw)

Therefore, the value of h would
(V)/(lw).

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


h=\frac{50\text{ m}^3}{10\text{ m}* 2\text{ m}}


h=\frac{50\text{ m}^3}{20\text{ m}^2}


h=\frac{5\text{ m}}{2}


h=2.5\text{ m}

Therefore, the height of box is 2.5 meters.

User Ruslan Ostafiichuk
by
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