Question

Malika models the volume of a popcorn box as a right rectangular prism and the box can hold 35 cubic inches of popcorn when it is full. Its length is 22 in and its width is 2 1/2 in. Find the height of the popcorn box in inches. Round your answer to the nearest tenth if necessary.

Answer 1

Answer:21.1 in ^3

Explanation:

Answer 2

To find the height of this prism, let's use the formula for the volume of a rectangular prism:

V = l · w · h

And this is what we know:

• Volume = 35 cubic inches.
• Length = 22 inches.
• Width = 2 1/2 inches, simplified would be 2.5 inches.

Now we are left to find the height, so plug in what we know into the formula I mentioned earlier:-

V = l · w · h

35 = 22 · 2.5 · h

Solve for 'h'!

35 = (22 · 2.5) · h

35 = 55 · h

35 = 55h

÷55 ÷55

35/55 = h

Which simplifies to:

7/11 = h, the height is 7/11 inches.

Double check;

V = l · w · h

V = 22 · 2.5 · 7/11

V = 35, which is correct!