Moritz bought an ottoman that is cube shaped with side lengths of 2 feet. Its lid is removable for storing blankets and pillows. There is a child safety bumper around its top edge.

Left, a cube. Right, a square labeled lid.

Which statements are true about the ottoman? Check all that apply.

The amount of storage for pillows and blankets is measured in cubic feet.

The child safety bumper is best measured using area.

The area of the lid is 4 feet.

The length of the child safety bumper equals the perimeter of the top of the ottoman, which is 8 feet.

The volume of the cube is 8 ft3.

Statements that are true are: ()The amount of storage for pillows and blankets is measured in cubic feet and ()The volume of the cube is 8 ft3.

Step-by-step explanation: A cube is a box-shaped solid object that has 6 identical square faces. Volume is the amount of space a enclosed object occupies.

The volume of an ottoman is the amount of storage for pillows and blankets and since it's calculated, in this case, as:

V = length*width*depth, and the unit is in feet, Volume's Unit is in Cubic Feet. That statement is correct.

The lid is a square. The area is: A = 2*2 = 4 square ft, so this statement is incorrect.

The perimeter of the top is: P = 4*2 = 8 feet, but it's not the length of the child safety bumper, so this statement is false.

An ottoman is a cube of side lengths 2 feet, so its volume will be V=8ft3.

Therefore, the correct statements are:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

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