Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 4096 in3. How big a piece of cardboard is needed?

Your answer is:
in. by
in.

Sagot :

AnimalPost

Answer:

oh wait I'm bad - ignore this first answer lol - I didn't read the part that says cutting 4 in. squares off the corners

Here's my previous one if you wanna see it though:

Answer:

A = 1280 in²

Step-by-step explanation:  

We know that the volume of a cube is A = a³, where a is the length of one of the edges.  

So, to find a:  

a³ = 4096

a = ∛4096  

a = 16 in

Now, we need to find the surface area of the square on the cube, where:

A = 6a², because we are making a box (that is empty inside).  

However, we need to change the formula to:

A = 5a², because the problem says that there is no top (so there are only 5 squares)

A = 5(16)²

A = 1280 in²

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.