Answer : The total volume of figure is, [tex]162in^3[/tex]
Step-by-step explanation :
First we have to calculate the volume of cuboid A.
[tex]V_A=l\times b\times h[/tex]
where,
[tex]V_A[/tex] = volume of cuboid A
l = length of cuboid = 9 in
b = breadth of cuboid = 5 in
h = height of cuboid = 2 in
[tex]V_A=9in\times 5in\times 2in[/tex]
[tex]V_A=90in^3[/tex]
Now we have to calculate the volume of cuboid B.
[tex]V_B=l\times b\times h[/tex]
where,
[tex]V_B[/tex] = volume of cuboid B
l = length of cuboid = 9 in
b = breadth of cuboid = 1 in
h = height of cuboid = 2 in
[tex]V_B=9in\times 1in\times 2in[/tex]
[tex]V_B=18in^3[/tex]
Now we have to calculate the volume of cuboid C.
[tex]V_C=l\times b\times h[/tex]
where,
[tex]V_C[/tex] = volume of cuboid C
l = length of cuboid = 9 in
b = breadth of cuboid = 1 in
h = height of cuboid = (8-2=6) in
[tex]V_C=9in\times 1in\times 6in[/tex]
[tex]V_C=54in^3[/tex]
Now we have to calculate the total volume of figure.
Total volume of figure = [tex]V_A+V_B+V_C[/tex]
Total volume of figure = [tex]90in^3+18in^3+54in^3[/tex]
Total volume of figure = [tex]162in^3[/tex]
Thus, the total volume of figure is, [tex]162in^3[/tex]
