The base of a jewelry box is covered with 120 square tiles that are 1 cm on each side. If the volume of the box is 600 cm^3, what is the height of the box?

A. 2 cm
B. 5 cm
C. 10 cm
D. 480 cm

Respuesta :

Answer:

B. 5 cm

Step-by-step explanation:

The base is covered with 120 square tiles which are 1 cm on each side which means the base area is 120 × 1 = 120 cm

Volume of the box  = 600cm³

We have to find the Height of the box

volume of the box = Base area × height

600 = 120 × height

height = [tex]\frac{600}{12}[/tex]

height = 5cm

Answer:

Choice B is correct answer.

Step-by-step explanation:

We have given the volume of box.

Volume = 600 cm³

Since from question statement, we observe that

The base of box is covered with square tiles that are 1 cm on each sides.

Hence, base area = 120 cm

The formula for volume of box is:

Volume = base area × height

Hence, height = volume / base area

Putting given values in above formula, we have

Height = 600 / 120

Height = 5 cm.  which is the answer.