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?

18 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

15 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

16 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

14 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
15 cm

Difference in the volume of boxes $= 360 c m^{3}$
$\Rightarrow (12 \times 8 \times h - 9 \times 8 \times h) c m^{3} = 360 c m^{3}$
$\Rightarrow 96 h - 72 h = 24 h = 360$
$\Rightarrow h = 15 c m$

Suggest Corrections

Similar questions

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

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

Two rectangular boxes have the same height and lenght, 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.

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

Q. 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.

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

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?

The correct option is B 15 cm Difference in the volume of boxes =360 cm3 ⇒(12×8×h−9×8×h)cm3=360 cm3 ⇒96h−72h=24h=360 ⇒h=15 cm

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?

The correct option is B
15 cm

Difference in the volume of boxes $= 360 c m^{3}$
$\Rightarrow (12 \times 8 \times h - 9 \times 8 \times h) c m^{3} = 360 c m^{3}$
$\Rightarrow 96 h - 72 h = 24 h = 360$
$\Rightarrow h = 15 c m$