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 = (1)/(3) {l}^(2) h`

`v = (1)/(3) * {4}^(2) * 6`

`v = 32 \: {in}^(2)`

Volume of the rectangular prism:

`v = lbh`

`v = 4 * 4 * 5`

`v = 80 \: {in}^(2)`

Total volume:

`v = 32 + 80`

`v = 112 \: {in}^(2)`