Question

rectangular box has a volume of 622 600. If the width of the box is 6, select all of the expressions that represent the box's length and height.
A)x + 50
B)x-50
C)x + 25
D)X-4
E)x + 10
F)x-10

Answer 1

To find the length and height of the box, we need to factor in the volume and the width.

Since Volume = length * width * height, we have 622,600 = 6 * length * height.

Simplifying, we get length * height = 103,766.67.

Now we need to check which expressions represent possible values for the length and height.

Let's plug in the options:

A) x + 50: if we choose x = 103,716.67, the expression becomes 103,766.67, which is equal to the expected value. A is a possible expression.

B) x - 50: if we choose x = 103,816.67, the expression becomes 103,766.67, which is equal to the expected value. B is a possible expression.

C) x + 25: if we choose x = 103,741.67, the expression becomes 103,766.67, which is equal to the expected value. C is a possible expression.

D) x - 4: if we choose x = 103,770.67, the expression becomes 103,766.67, which is equal to the expected value. D is a possible expression.

E) x + 10: if we choose x = 103,756.67, the expression becomes 103,766.67, which is equal to the expected value. E is a possible expression.

F) x - 10: if we choose x = 103,776.67, the expression becomes 103,766.67, which is equal to the expected value. F is a possible expression.

Therefore, all of the expressions A), B), C), D), E), and F) represent possible values for the box's length and height.