Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall. Sean's video game system measures 1 inch longer on all sides. What is the combined volume of the two game systems?

Respuesta :

Answer:

Combined volume of the two game systems  [tex]=416[/tex] cubic inches

Step-by-step explanation:

Volume of a cuboid = length × breadth × height

Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.

So,

Volume of Soham's video game system = 8 × 6 × 2 = [tex]96[/tex] cubic inches

As Sean's video game system measures 1 inch longer on all sides,

the video game system measures [tex]8+2=10[/tex] inches long, [tex]6+2=8[/tex] inches wide, and [tex]2+2=4[/tex] inches tall.

Volume of the video game system = 10 × 8 × 4 = [tex]320[/tex] cubic inches.

Therefore,

Combined volume of the two game systems = [tex]96+320=416[/tex] cubic inches