Question

A grocer wants to sell fiuit in boxes.
He wants to make the boxes from square card 36 inches long and 36 inches wide as shown.

Answer 1

Answer:

Solution given:

For finished box

length[L]=36-4-4=28in

breadth [b]=36-4-4=28in

height[h]=4in

Now

volume of square box=l×b×h=28*28*4=3136in³

1.

the volume of finished box is 3136in³

2.

if we change the 4 inches into different measurement ,its maximum or largest volume is 3136in³.

As volume is constant.

Answer 2

The volume of the box will be 3136 cu. unit and the largest volume the box can be made of is also the same.

What is volume ?

The amount of space occupied by a three-dimensional object as measured in cubic units (such as quarts or liters)

The given square after getting folded turns into a box of 28*28*4 inches

The volume of the box can be detrmined by using the formula of volume of the cuboid.

Volume of the cuboid = 28*28*4

=3136 cu.inches

The largest volume that the box can have is 3136 as when increasing the height the length or the width will decrease and so does the volume.

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