Question

The volume of Box D subtracted from the volume of Box C is 23.14 cubic centimeters. Box D has a volume of 10.115 cubic centimeters.

a. Let C be the volume of Box C in cubic centimeters. Write an equation that could be used to determine the volume of Box C.
b. Solve the equation to determine the volume of Box C.
c. The volume of Box C is one-tenth the volume another box, Box E. Let E represent the volume of Box E in cubic centimeters. Write an equation that could be used to determine the volume of Box E, using the result from part (b).
d. Solve the equation to determine the volume of Box E.

Answer 1

a) Given that D subtracted from C is 23.14 cubic centimeters, then

`C -D = 23.14 \ .`

b) From a) we get
`C = D + 23.14`.

Therefore, replacing D by 10.115 we obtain
`C = 33.255 \mbox {\ cubics centimeters\ }`.

c) First, the expression that shows one-tenth of E is
`(E)/(10)`.

Then, it follows that
`C = (E)/(10) \ .`

Therefore,
`E = 10 C \ .`

d) Finally, using the value of C from b) we get

`E = 10 C = 10 \cdot 33.255 = 332.55 \mbox{\ cubics centimeters \ }`