In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:

$V=98in^3$

When folding up, we get the box without lip shown in the second figure. So the volume would be:

$V=2xx \\ \\ V=2x^2 \\ \\ But: \\ \\ V=98 \\ \\ Then: \\ \\ 2x^2=98 \\ \\ x^2=49 \\ \\ x=\sqrt{49} \\ \\ x=7in$

Since te cardboard is square, then the side (s) is given by:

$s=2+x+2 \\ \\ s=2+7+2 \\ \\ s=11in$

Therefore:

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Learn more:</h2>

Volume of a box: brainly.com/question/10501080

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8 0

3 years ago

Read 2 more answers

Approximating the equation of a line , can someone please help !

KatRina [158]

Answer:

y = -13x + 231

$94

3 0

3 years ago

M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle