Question

The base of a rectangular box has a width of 3 inches and a length of 4 inches. The box is 12 inches inches tall. a) Draw a picture of the box below b) How far is it from one of the box's top corners to the opposite corner of the base of the box?

Answer 1

it would be 144 inches

Answer 2

a) attached the figure.

b) diagonal (d) = 13 inches

Explanation:

The given figure is a rectangular box in which the length = 4 inches, width = 3 inches, and height = 12 inches.

a) Draw the figure and attached.

b) To find the diagonal from one of the box's top corners to the opposite corner of the base of the box, we have formula.

Diagonal length from top corner to corner of the base (d) =
`√(l^2 + w^2 + h^2)`

We know that l = 4 , w = 3 and h = 12

Now plug in these values in the above formula, and find the diagonal.

d =
`√(4^2 + 3^2 + 12^2)`

d =
`√(16 + 9 + 144) = √(169)`

d = 13 inches.