Answer:
The box is 5 inches tall
Step-by-step explanation:
The given dimensions of the video games are;
The length of the video game, L = 15 inches
The width of the video game, W = 10 inches
The volume of the video game box, V = 750 cubic inches
Assuming that the shape of the video game box is a cuboid, we have;
The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H
∴ V = L × W × H
The height of the cuboid, H = V/(L × W)...(1)
Where, for the video game box;
L = Length = 15 in.
W = Width = 10 in.
V = Volume = 750 in.³
Plugging in the values of the variables in equation (1) gives;
H = V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.
The height of the box, H = 5 inches.
