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.

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 = (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.