Question

Layla wants to build a wooden box with a volume of 450 cubic centimeters. She started with a width of 10cm and a height of 3cm. How long should Layla make the box ?

Answer 1

Layla should make the box length of 15 centimeters, if a wooden box with a volume of 450 cubic centimeters and a width of 10 cm and a height of 3 cm.

Step-by-step explanation:

The given is,

                  A volume of wooden box is 450 cubic centimeters

                 Box have a width of 10 cm and a height of 3cm

Step:1

                From the given values of Width, height and length of the wooden box, so it must be a rectangular shaped wooden box.

                Formula to calculate the volume of rectangular wooden box,

                                 $Volume, V =whl$......................................(1)

             Where,

                           w - Width of the wooden box

                           h - Height of the wooden box

                            l - Length of the wooden box

             From the given values,

                            Volume, V = 450 cubic centimeters

                               Width, w = 10 cm

                              Height, h = 3 cm

             Equation (1) becomes,

                                450 = ( 10 × 3 × l )      

                                 $450 = 30 l$  

                                     $l = \frac{450}{30}$

                                        = 15

                        Length, l = 15 centimeters

Result:

          Layla should make the box length of 15 centimeters, if a wooden box with a volume of 450 cubic centimeters and a width of 10 cm and a height of 3 cm.