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scZoUnD [109]
3 years ago
14

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 finished box has a volume of 98 cubic inches. Which equation can be used to find the dimensions of the original cardboard piece?

Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0

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

<h2>Explanation:</h2>

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

#LearnWithBrainly

Nady [450]3 years ago
4 0

Answer:

2(w-4)^2

Step-by-step explanation:

the equation, my explanation is i got it off of imagine math.

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