Question

Find the volume of the solid shown below

Answer 1

Answer:

960 cubic cm.

Step-by-step explanation:

We have to find the volume of a solid figure as detailed in the attached photo.

The topmost part of the solid is a pyramid with a square base.

The square base has a dimensions 6 cm by 6 cm and the height of the pyramid is 4 cm, then the volume is  

$\frac{1}{3} \times (\textrm {Area of base} \times {\textrm {Height}}) = \frac{1}{3} \times 4 \times 6^{2} = 48$ cubic cm.

Now, the volume of the bottom cuboid of the pyramid is  

= Height × Length × Width

= 12 × 6 × 6

= 432 cubic cm.

And finally, the volume of the other cuboid = 10 × 8 × 6 = 480 cubic cm.

Hence, the total volume of the solid is (48 + 432 + 480) = 960 cubic cm. (Answer)