To find how much space remains in the box, you will find the total space of the box by finding the volume of it. Then you will subtract the volumes of the 2 triangular prisms. The remaining would be the extra space.
Volume of Rectangular Prism - 2(Volume of the Triangular Prism)
Bh - Bh
(3 x 6 x 4) - 2 [(1/2 x 2 x 5) x 3]
72 cubic feet - 30 cubic feet
42 cubic feet
There are 42 cubic feet of space remaining.
Answer:
and 
Step-by-step explanation:
To solve the system of equations with the linear combination method, you must:
- Arrange the equations in a colum.
- Make one of the set of terms, with equal variables, opposite in signs but equal in coefficients.
- Add both equations to cancel out that set of terms.
- Solve for the the variable left.
- Substitute the value of that variable into one of the original equations and solve for the other variable to find its value.
As you can see, the first equation of the system of equations given in the problem, does not have the variable
, so you can't apply the proccedure shown above. Then, to solve it you must:
-Solve for
in the first equation:

- Substitute the value obtained into the second equation and solve for
, then:

Therefore:
and 
Answer:
this quantity refers to the amount that a container can hold.
Container A holds x liters of water.
Container B holds 2391 liters of water more than container A, so container B holds x+2391 liters of water.
Container A and B hold 11875 liters of water altogether.

Container A holds 4742 liters of water.
Answer: x=74°
180-133=47 and 47+59=106 so 180-106= 74°