Answer:
a = 
Step-by-step explanation:
4a -16 = a - 15
both left and right -a
then
4a - 16 -a = a - 15 -a
then
4a -a -16 = a -a -15
then
3a -16 = -15
both left and right + 16
then
3a -16 + 16 = -15 + 16
then
3a = 1
both left and right ÷3
then
3a ÷ 3 =1 ÷ 3
then
a =
A rectangular prism is a polyhedron with six rectangular faces. To fully define a rectangular prism, one must know its length, width and height. The volume of a rectangular prism is expressed as the product of its dimensions - length, width and height. To calculate for its width, we use the volume formula.
V = l x w x h
From the given, we have:
l = 3w
h = 2 + w
V = 135 ft^3
Substituting the given expressions,
135 ft^3 = 3w (w) (2+w)
135 ft^3 = 6w^2 + 3w^3
Solving for w, we obtain the following values:
w1= 3
w2 = 2.5 + 2.96i
w3 = 2.5 - 22.96i
Since width should not have a negative value, the value of w should be 3 ft.
44.6 is the answer, but the estimate is 45 since you round up from .5+
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