Question

Sarita makes a conical hat out of stiff felt. She packs the hat into the box so that the edge of the base just touches all four edges of the box and the tip of the hat touches the top of the box. The box is a rectangular prism that is 16 by 16 by 15 centimeters. How much material was used to create the hat? Round to the nearest tenth of a square centimeter

Answer 1

The material needed to make the hat is 3840 cm³.

How to find the volume of a rectangular prism?

The hat occupies the whole volume of the rectangular box. Therefore, the material needed to make the hat is the volume of the rectangular box it occupies.

Therefore,

volume of a rectangular prism = lwh

where

• l =length
• w = width
• h = height

Therefore,

l = 16 cm

w = 16 cm

h = 15 cm

volume of a rectangular prism = 16 × 15 × 16

volume of a rectangular prism = 3840 cm³

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