Question

This question is "Decompose figures to find volume"

This question that im struggling with is really kinda hard for me....​

Answer 1

See how it is made of two shapes? One shape is 2x9x5 in and the other is 8x9x1. Add the two products. 2x9x5=90 and 8x9x1=72. 90+72=162 and that's the answer

Answer 2

Answer : The total volume of figure is,
`162in^3`

Step-by-step explanation :

First we have to calculate the volume of cuboid A.

`V_A=l* b* h`

where,

`V_A` = volume of cuboid A

l = length of cuboid = 9 in

b = breadth of cuboid = 5 in

h = height of cuboid = 2 in

`V_A=9in* 5in* 2in`

`V_A=90in^3`

Now we have to calculate the volume of cuboid B.

`V_B=l* b* h`

where,

`V_B` = volume of cuboid B

l = length of cuboid = 9 in

b = breadth of cuboid = 1 in

h = height of cuboid = 2 in

`V_B=9in* 1in* 2in`

`V_B=18in^3`

Now we have to calculate the volume of cuboid C.

`V_C=l* b* h`

where,

`V_C` = volume of cuboid C

l = length of cuboid = 9 in

b = breadth of cuboid = 1 in

h = height of cuboid = (8-2=6) in

`V_C=9in* 1in* 6in`

`V_C=54in^3`

Now we have to calculate the total volume of figure.

Total volume of figure =
`V_A+V_B+V_C`

Total volume of figure =
`90in^3+18in^3+54in^3`

Total volume of figure =
`162in^3`

Thus, the total volume of figure is,
`162in^3`