A box in a shape of a rectangular prism is used in a movie scene. The base of the box measures 6 ft by 5 ft. The box has a volume of 195 cubic feet. The director hires an actor who is 6 ft and 4 inches tall. Can the actor stand up in the box
V = L*W*h = 195ft^3.
6 * 5 * h = 195,
195 / (5 * 6) = ________
To determine if the actor can stand up in the box, we need to consider the dimensions of the box and the height of the actor.
Given:
Base of the box: 6 ft by 5 ft
Volume of the box: 195 cubic feet
Actor's height: 6 ft 4 inches
First, let's find the height of the box.
Since the box is in the shape of a rectangular prism, we know that the volume of a rectangular prism is given by the formula: volume = length × width × height.
Given that the volume of the box is 195 cubic feet and the base measures 6 ft by 5 ft, we can set up the equation:
195 = 6 × 5 × height
Simplifying the equation:
195 = 30 × height
Now, solve for the height:
height = 195 / 30
height = 6.5 ft
The height of the box is 6.5 ft.
Comparing the height of the actor (6 ft 4 inches) and the height of the box (6.5 ft), we find that the actor is shorter than the height of the box.
Therefore, the actor can stand up in the box since the height of the box is greater than the actor's height.