Question

Professor Burger made a water tank in the given shape. Calculate the volume of the tank.

• A. 46 cubic meters
• B. 54 cubic meters
• C. 50 cubic meters
• D. 52 cubic meters

Answer 1

The correct option is D 52 cubic meters

The volume of the tank is the combined volumes of all the three solids. Let's color them and find the volume.

The width of the solid is constant throughout, which is equal to the width of the red cuboid which is equal to 1 meter.

Volume of a cuboid is:
length $\times$ width $\times$ height

$\therefore$ Volume of the red cuboid
= 8 $\times$ 1 $\times$ 3 = 24 cubic meters

Volume of the green cuboid
= 2 $\times$ 1 $\times$ 5 = 10 cubic meters

Volume of the yellow cuboid
= 6 $\times$ 1 $\times$ 3 = 18 cubic meters

Total volume = 24 + 10 + 18 = 52 cubic meters