Given:
- square pyramid
- rectangular prism
To find:
The volume of the given compound shape.
Solution:
Volume of the square pyramid:
[tex]v = \frac{1}{3} {l}^{2} h[/tex]
[tex]v = \frac{1}{3} \times {4}^{2} \times 6[/tex]
[tex]v = 32 \: {in}^{2} [/tex]
Volume of the rectangular prism:
[tex]v = lbh[/tex]
[tex]v = 4 \times 4 \times 5[/tex]
[tex]v = 80 \: {in}^{2} [/tex]
Total volume:
[tex]v = 32 + 80[/tex]
[tex]v = 112 \: {in}^{2} [/tex]
