A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space in
side so they can also be used to store props. How much space is inside the steps?
1 answer:
Answer:
2880 in³
Step-by-step explanation:
Assume the steps have the dimensions shown in the diagram below.
We can decompose them into two rectangular prisms.
The lower prism has the dimensions 20 in × 16 in × 6 in.
The upper prism has the dimensions 20 in × 8 in × 6 in.
1. Volume of lower prism
V = lwh = 20 in × 16 in × 6 in = 1920 in³
2. Volume of upper prism
V = lwh = 20 in × 8 in × 6 in = 960 in³
3. Volume of steps
V = 1920 in³ + 960 in³ = 2880 in³
You might be interested in
Answer:
Step-by-step explanation:
According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.
Therefore, based on this theorem, we would have the following:
Solve for x
Multiply both sides by 21