3 years ago

Please tell me if I do # 3 correct

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

4 0

The answer I got is 20.397.

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3 years ago

Read 2 more answers

An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends

Kruka [31]

Answer:

$V=4x^3-60x^2+216x$

Step-by-step explanation:

<u>Volume And Function s</u>

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

$V=abc$

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

$V=x(12-2x)(18-2x)$