Ashipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box?

By definition, the volume of a rectangular prism is given by:

Where,

w: width of the rectangular prism.

l: length of the rectangular prism.

h: height of the rectangular prism.

Substituting values we have:

Clearing the value of h we have:

the height of the box is 15 inches

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

the answer is d

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