A box of cereal is a rectangular prism with a surface area of 272 square inches. The box can hold 192 cubic inches of cereal. If you double the dimensions of the box, what is the surface area of the new box? How much cereal can the new box hold?

Respuesta :

To find the surface area of the new box, we can double the dimensions of the original box and calculate the new surface area.

Let's say the original box has length L, width W, and height H. The surface area of the original box is given as 272 square inches.

If we double the dimensions, the new box will have a length of 2L, a width of 2W, and a height of 2H.

To find the surface area of the new box, we can use the formula:

New Surface Area = 2(LW + LH + WH)

We know that the original box has a surface area of 272 square inches. If we double the dimensions, the new box will have a surface area that is four times larger than the original.

So, the surface area of the new box would be 272 x 4 = 1088 square inches.

Since we doubled the dimensions, the volume of the new box will be eight times larger than the original.

The original box can hold 192 cubic inches of cereal, so the new box can hold 192 x 8 = 1536 cubic inches of cereal.