Layla wants to build a wooden box with a volume of
45
4545 cubic centimeters.
She started with a width of
3
cm
3 cm3, start text, space, c, m, end text and a height of
3
cm
3 cm3, start text, space, c, m, end text.
How long should Layla make the box?

Respuesta :

Answer:

Layla wants to build a wooden box with a volume of 45 cubic centimeters.She started with a width of 3 cm and a height of 3 cm.How long should Layla make the box?

Length of the box = 5 cm

Step-by-step explanation:

Given:

Volume of a wooden box = 14  cubic cm.

Width of the box = 3 cm

Height of the box = 3 cm

Let the wooden box be in cuboid shape.

Volume of the cuboid box = Product of length,width and its height.

Volume = [tex]l\times w\times h[/tex]

So,

Plugging the values.

⇒Volume = [tex]l\times w\times h[/tex]

⇒ [tex]45=3\times 3\times h[/tex]

⇒ [tex]45=9\times h[/tex]

⇒ [tex]\frac{45}{9}=h[/tex]

⇒ [tex]5=h[/tex]

Height of the wooden box is 5 cm.

Layla should make 5 cm long for the wooden box.