A 10-inch by 10-inch plece of cardboard has a 2-inch by 2-inch square cut out of each comer. The sides are then folded up to make a box without a lid. What is the
volume of the box?

Equation for volume of a square is V=BH or V=LWH

if 2 inches are cut from each corner it decreases the size from 10 by 10 to 6 by 6

the 2 inches that were cut of now represent the height

so...

L=6

W=6

H=2

sub this into the formula to get L=6x6x2 which equals to 72 inches squared

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.