: You are an engineer for a company that produces shipping boxes. The boxes that are made on one machine are all in the shape
: You are an engineer for a company that produces shipping boxes. The boxes that are made on one machine are all in
the shape of a cube. As the demand for different size boxes changes you need to be able to change the setting on the
machine so you can vary the side length of the cube shaped box. Draw a picture of a cube and label the cube’s side
length, s.
Prior to placing your order for more cardboard, tape, packing material, etc. your boss asked you to determine each of
the following:
a. Write an expression to determine the surface area of a cube-shaped box, S4, in terms of its side length, s (in
inches).
SA
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are the units for SA? Select an answer
b. Define a formula to determine the volume of a cube-shaped box, V, in terms of its side length, s, (in inches).
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are the units for the cubes volume? Select an answer
c. Define a formula to determine the total length, L, of the box’s edges in terms of the box’s side length, s, (in
inches) (You need to know how much tape is needed to secure all edges with tape.)
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are the units for L? Select an answer
d. Define a formula to determine the side length of a cube-shaped box, s, in terms of the boxes volume, V.
Preview : 4
Given the formula for determining the volume of a sphere is V
a. Write the equation that you would solve to determine the radius of the sphere that has a volume of 87 cubic
inches.
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b. Evaluate the volume of the sphere when r = 5.7 inches.
Select an answer
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c. c. As the radius of the sphere increases from 2 to 4 inches, the volume of the sphere Select an answer
from
to
Select an answer
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