Answer:
The volume of the stairway is
720 cubic inches
Step-by-step explanation:
we know that
The volume of the stairway is equal to the volume of two rectangular prism
The volume of the rectangular prism is equal to
[tex]V=LWH[/tex]
Find the volume of the larger rectangular prism
we have
[tex]L=6\ in[/tex]
[tex]W=10\ in[/tex]
[tex]H=4+4=8\ in[/tex]
substitute
[tex]V=(6)(10)(8)=480\ in^{3}[/tex]
Find the volume of the smaller rectangular prism
we have
[tex]L=6\ in[/tex]
[tex]W=10\ in[/tex]
[tex]H=4\ in[/tex]
substitute
[tex]V=(6)(10)(4)=240\ in^{3}[/tex]
Find the volume of the stairway
Adds the two volumes
[tex]V=480+240=720\ in^{3}[/tex]
Answer:
Option B
Step-by-step explanation:
We have to calculate the volume of concrete used to create the stairway given in the picture.
Volume of the stairway = volume of small stairway + volume of larger stairway
Dimensions of Large stairway = 10 in × 6 in × (4+4)in
= 10 in × 6 in × 8 in.
Therefore, volume of large stairway = 480 in³
Dimensions of small stairway = 10 in × 6 in × 4 in
= 240 in³
Total volume = 480 + 240
= 720 in³
Option B is the answer.
