Question

A snack food company has decided to package its new brand of crackers in a box shaped like a rectangular prism. The box needs to have a volume of 108 ¾ cubic inches. If the width of the box is going to be 7 ¼ inches, and depth of the box is going to be 1 ¼ inches, what must the height of the box be?

Answer 1

Answer:

• So it's answer is 1/12

Given:

• Volume of cuboid ( rectangular prism)
• Length of cuboid
• breadth ( depth) of cuboid

To find:

• height of cuboid

Formula need to use:. (V*= Volume)

• V* of cuboid= l x b x h
• V* = lb x h
• h= lb/ V*

Step by step answer:

• By using formula = h= lb/ V
• H= 7¼ x 1¼/ 108¾³
• H= 29/4 x 5/4 / 435/4³
• H= 145/16 / 435/4³
• H= 145/6 / 4/435(reciprocal due to division)
• H= 1/12