Question

Find the volume of the following compound shape​

Answer 1

pyramid:

= 1/3*4^2*6

= 32 in^3

cuboid:

= 4*4*5

= 80 in^3

all together:

= 112 in^3

Answer 2

Given:

• square pyramid
• rectangular prism

To find:

The volume of the given compound shape.

Solution:

Volume of the square pyramid:

$v = \frac{1}{3} {l}^{2} h$

$v = \frac{1}{3} \times {4}^{2} \times 6$

$v = 32 \: {in}^{2}$

Volume of the rectangular prism:

$v = lbh$

$v = 4 \times 4 \times 5$

$v = 80 \: {in}^{2}$

Total volume:

$v = 32 + 80$

$v = 112 \: {in}^{2}$