Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in the volumes of the boxes is 360 $c m^{3}$ . What is the height of the boxes?

Open in App

Solution

Volume of the box = lbh

Difference in the volume of boxes
$= 360 c m^{3}$
$\Rightarrow (12 \times 8 \times h - 9 \times 8 \times h) c m^{3} = 360 c m^{3} \Rightarrow 24 h = 360 \Rightarrow h = 15 c m$

Suggest Corrections

Similar questions

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in the volume of the boxes is 360 $c m^{3}$ . Find the height of the box.

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in the volumes of the boxes is 360 $c m^{3}$ . What is the height of the boxes?

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

If the difference in the volumes of the boxes is 360 cm $^{3}$ , then what is the height of the boxes?

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in the volume of the boxes is 360 $c m^{3}$ . Find the height of the box.

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in their volumes is 360 cm³. Find their height.

Join BYJU'S Learning Program

Two rectangular boxes have the same height and length, but different widths as shown in the figure. The difference in the volumes of the boxes is 360 cm3. What is the height of the boxes?

Volume of the box = lbh Difference in the volume of boxes =360cm3 ⇒(12×8×h−9×8×h)cm3=360cm3⇒24h=360⇒h=15cm

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in the volumes of the boxes is 360 $c m^{3}$ . What is the height of the boxes?

Volume of the box = lbh

Difference in the volume of boxes
$= 360 c m^{3}$
$\Rightarrow (12 \times 8 \times h - 9 \times 8 \times h) c m^{3} = 360 c m^{3} \Rightarrow 24 h = 360 \Rightarrow h = 15 c m$