Question

Find the volume of the object given below.

• A. 72 cubic m
• B. 80 cubic m
• C. 88 cubic m
• D. 70 cubic m

Answer 1

The correct option is A 72 cubic m

The solid is made up of a cube and a cuboid.
Let's color each solid and then try to find the volume.

The solid is made up of a cuboid (green), a cube (orange), a cuboid (purple).
Total volume = Combined volumes of all the solids
Volume of green cuboid = $10\times 2\times 2=40\mathrm{cubic}m$
Volume of orange cube = $2\times 2\times 2=8\mathrm{cubic}m$
Volume of purple cuboid = $4\times 2\times 3=24\mathrm{cubic}m$
Total volume = $40+8+24=72\mathrm{cubic}m$