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.

A.

B. 2.5 meters.

Step-by-step explanation:

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

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

Switch sides:

Upon dividing both sides by , we will get:

Therefore, the value of h would .

(B). To find height of the box, we will substitute  , , and .

Therefore, the height of box is 2.5 meters.

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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